The World's Fastest Growing Plant

Algebra Level 1

Bamboo can have an extraordinarily fast growth rate (up to 250 cm per day!).

Unfortunately for Sam, he didn't realize how fast bamboo can grow when he bought a new plant for his living room. He purchased some 50 cm tall bamboo, placed it next to his couch, and then left for a weekend trip.

When he returned 2 days later, his 2.5 m high ceiling was damaged because the bamboo had just started to push through it.

In cm per day, how fast did the bamboo grow?

100 250 50 150

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62 solutions

Michael Tang
Jan 15, 2014

In two days, the bamboo grew from 50 50 cm to 2.5 2.5 m, which is 250 250 cm. Thus, the total growth is 250 50 = 200 250 - 50 = 200 cm. Then, since it took two days, each day (on average) the bamboo grew 200 2 = 100 \dfrac{200}{2} = \boxed{100} cm.

and how how in the hell would it damage the ceiling if it was 250cm tall ? it would just touch it

Maun El Tohamy - 7 years, 4 months ago

the total growth of the bamboo in two days is : (2.5m - 50cm) =250cm-50cm= 200 cm. , which 50 cm is the original length of the bambo , and 250 is the length of it till touchs the ceiling. since, ( fast=total growth of bamboo/two days) so, ( fast= 200 cm./2 days) = [100 cm/day]

essam fawaz - 7 years, 4 months ago

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good

Cherry Nicer - 7 years, 4 months ago

Right guys and d thank you

Mohammed Faizan - 7 years, 4 months ago

equal high the ceiling and bamboo. how come the ceiling damaged?

Jade Ryan Ceniza - 7 years, 3 months ago

yaa same

Sowmy Vivek - 7 years, 4 months ago

Sam bought a 50 cm tall bamboo, then when he go to the weekend trip the height of the bamboo is now in 2.5m to find the solution we must subtract the initial height to the final height then we got the answer of 200cm and divide it in two days we got the final answer of 100cm...

Joshua Dela Cruz - 7 years, 4 months ago

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And it would touch the 2.5m ceiling. Touching isn't damaging. It should be greater than 100

Heidi Horak - 5 years, 11 months ago

fair but the bamboo grew till it hit the ceiling, the rate at which it grew per day could have still been 250 cm, but since there was no more room for growth the bamboo topped out and when the guy got back 2 days later the bamboo was already at the maximum point. if he came back 4 days later the bamboo wouldn't have grown at the rate of 50 had it still remained at the the 2.5 m mark. The problem is flawed.

Pete Kosakowski - 6 years, 5 months ago

same metthod

kaivalya swami - 7 years, 4 months ago

im the 100th to solve :0

Joshua Ong - 7 years, 4 months ago

thanks

Fauline ST - 7 years, 4 months ago

wowza! i sucks at math but i want to try this xD Thank you!

Meliza Carpentero - 7 years, 4 months ago

how many square are their in a chess board?

Shubham Munjal - 7 years, 4 months ago

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64

celinmariya P.N - 7 years, 4 months ago

true

Kamaljeet Singh - 7 years, 4 months ago

hmm

Shabhi Ishq - 7 years, 4 months ago

hmmmm

Harold Bolaños - 7 years, 4 months ago

hmmm ri8

Rooshaan Rajput - 7 years, 4 months ago

100% right

SUCHITRA MOHANTY - 7 years, 4 months ago

wonderful

sam aduk - 7 years, 4 months ago

Well done!

Najum ul Saqib - 7 years, 4 months ago

Began: 50cm Finish: 2.5 m= 250cm Times: 2 days The answer is: (250-50)/2 days= 100cm

Tiểu Tử - 7 years, 4 months ago

precise answer

Danish Ahmad - 7 years, 4 months ago

but then it would't dmg cieling it would just come up to cileing :/

Nermin Huskić - 7 years, 4 months ago

100

OM SINGH - 7 years, 4 months ago

OHHH SO EASY !!!!!!!!!!!!!

RAHUL PARMAR - 7 years, 4 months ago

Essam Fawaz Essam Fawaz the total growth of the bamboo in two days is : (2.5m - 50cm) =250cm-50cm= 200 cm. , which 50 cm is the original length of the bambo , and 250 is the length of it till touchs the ceiling. since, ( fast=total growth of bamboo/two days) so, ( fast= 200 cm./2 days) = [100 cm/day]

M SAJID IQBAL - 7 years, 4 months ago

Ugh! So obvious! I forgot it was already 50 cm :(

James Brisbane - 7 years, 3 months ago

when it bought then its length was .5 m after 2 days its length is 2.5 m hance its per day growth is 200cm/2 days =1oocm

Soharab Hussain - 7 years, 3 months ago
Nikitha K
Jan 16, 2014

1 meter = 100 cm, so if it is 2.5 meter then it is 2.5 x 100= 250 cm. Since the problem said it was 50 cm at first you have to subtract 50 from 250. 250 - 50 = 200 cm. You need to know how many cm per day, so you have to take 200 and divide it by 2; 200/2= which results in \boxed{100cm}.

very easy soluation

sani malik - 7 years, 4 months ago

ok

Sonty Mehta - 7 years, 4 months ago

easy & good solution

naidu prase - 7 years, 4 months ago

Good! According to your answer, on the beginning of the second day, the height of the bamboo will be 150 c.m. It will grow 100 c m on each day. Now can I say that the growth rate on the first day is 100/50 and on the second day is 100/150? Or, the answer is only an average figure? Please comment!

bhaskaran e v - 7 years, 4 months ago

Let x x be the length of growth per day of the bamboo.

Then,

0.5 + 2 x = 2.5 0.5 + 2x = 2.5 \implies 2 x = 2 2x=2 x = 1 m x=1~m or x = 100 c m \boxed{x=100~cm}

Given are the initial height, 50 cm, and the final height, 2.5 m, of the bamboo. The bamboo grew a total of:

50 c m 2.5 m = 50 c m 250 c m = 200 c m 50 cm - 2.5 m = 50 cm - 250 cm = 200 cm .

Assuming that the bamboo grows evenly during the two-day period, then:

200 c m 2 d a y s = 100 c m d a y \frac{200 cm}{2 days} = 100 \frac{cm}{day} .

Akshay Pahariya
Jan 16, 2014

initial height of the tree is : 50 cm height of the ceiling is :250 cm therefore , the growth required by the tree to push the ceiling =250-50=200 cm since ,Sam went out for two days , therefore the required growth should be grow in 2 days ie; grow per day =200/2 =100 cm

the height of ceiling is 2.5m, height of plant is 50 cm - 50 from 250 - he is gone for 2 days - it grew for approx 200cm total 100 cm per day, yeah yeah yeah -- BUT it grew through the ceiling and damaged it - so the answer is >100cm per day

mike sprague - 7 years, 4 months ago

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Looking back to the problem,

When he returned 2 days later, his 2.5 m high ceiling was damaged because the bamboo had just started to push through it.

From the clause "had just started to push through it," it implies that the bamboo haven't grown anything further than the 2.5-meter ceiling.

Lanvin De Los Santos - 7 years, 4 months ago

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the words "damaged" and "pushed through" are the key to this. You trying to defend common sense and observation with a math problem - this is a subjective question. My interpetation of damaged and push through means just that more than - so my answer, which would be correct is that is grew more than 200cm from the initial height of 50cm. >100cm per day is more correct than the 100cm per day

mike sprague - 7 years, 4 months ago

yea , if its 250cm it will only touch the ceiling

Ng Ter Jie - 7 years, 4 months ago
Zahin Arab
Jan 16, 2014

Ceiling height=2.5m=2.5*100=250cm.
bamboo grow in 2 days=250cm-50cm=200cm.
so bamboo grow in cm per day=200/2=100cm

Sheran Abbasi
Jan 16, 2014

The ceiling is 2.5 m(250 cm) high and the plant is initially 50 cm so it must grow 200 cm to push through the ceiling. So if it grew 200 cm in 2 days then for 1 day it must have grown 100 cm.

Devendra C
Jan 16, 2014

change in growth 250-50 i.e 200 cms in 2 days 100 cm per day

Sandeep Sharma
Jan 16, 2014

100

100

Vishav Sharma - 7 years, 4 months ago

Let x be the rate of growth of the bamboo.

Let 2x for the growth of bamboo in two days

Equation:

2x+50=250 (since 2.5 m is 250 cm)

2x=200

x=100

Anurag Pandey
Jan 17, 2014

As it was first only 50 cm tall ..then rate of growth per day is 200/2 = 100 cm

(y)

Mohamed Mousa - 7 years, 4 months ago
Vineet Kumar
Jan 17, 2014

rate of growing=250cm/day (not necessary data for this solution), the given days=2, the height of ceiling=2.5 m=250 cm, given height of bamboo=50 cm, the height of growm bamboo tree after 2 days=250-50=200 cm, so the rate of growing= 200/2=100 cm/day

Swarnava Ghosh
Jan 16, 2014

height of the ceiling =2.5m=250cm.Now the plant was already 50 cm tall,so it had to grow another 200 cm to touch the ceiling.expecting that the growth is uniform the growth per day will be 200/2=100 cm per day

Kritika Kumar
Jun 19, 2015

Initial length of bamboo=50 cm. Length of the bamboo found after=2.5m=250cm. Total growth=250-50 =200cm time taken =2 days rate of growth=200/2=100cm per day

Larry Williams
Mar 25, 2015

If the ceiling was 250 cm high, and it was damaged because the bamboo pushed THROUGH it, it would stand to reason that the bamboo grew at a rate FASTER than 100 cm per day

Bharath Spidy
Jul 1, 2014

Ceiling = 250cm, Starting height = 50cm,

so 50 (Starting height) + 100 (New height) + 100 (New height) = 250 ceiling

Yumi Kim
Mar 17, 2014

50cm + 2days = 2.5m And 2.5m = 250cm So 50cm +2days = 250cm And minus 50cm to the both sides So it will be 2days= 200cm And divide it by 2 to the both sides So Day= 100cm So the FINAL answer is 100

Haadia Malik
Feb 28, 2014

Bamboo already grown = 50 cm or .5 m Height of ceiling =2.5 m total growth = 2 m or 200 cm Daily growth = 200/2 = 100 cm

Tootie Frootie
Feb 20, 2014

2.5 m = 250 cm. so 250 - 50 = 200 and he returned in 2 days so 200/2 gives result 100

Ivy Joy Barrion
Feb 12, 2014

His ceiling is just 2.5m or 250cm. The bamboo was 50cm tall when he left. So 250 - 50cm = 200cm gap from ceiling. He left for two days, so per day bamboo grown atleast 100cm.

Abhishek Deshmukh
Feb 11, 2014

After 2 days, height of the plant was 250 cm. So, in 2 days plant grow 200 cm (250 - 50). So, in 1 day, 200/2= 100 cm.

Raja Mogulluri
Feb 8, 2014

2.5m=250cm already it grown 50 cm so per day 100 cm

50cm bamboo has to grow up to 250cm in two days,i e possible only by a growth rate of 100cm/day ,in two days it will grow up to 250cm(50+200).

Prasun Biswas
Feb 3, 2014

Initial height of the bamboo = 50 =50 cm and height of ceiling = 2.5 =2.5 m = 250 =250 cm.

So, bamboo reached the ceiling in 2 days, so that means it grew ( 250 50 ) (250-50) cm = 200 =200 cm in 2 days.

So, Average growth per day = 200 2 = 100 cm =\frac{200}{2} = \boxed{100\text{cm}}

Thejas D
Feb 2, 2014

IT is clear from the question that the bamboo has grown up from 50 cm to 2.5 m .let the change in length be x so,
50 cm + x=250 cm
on calculating we get x=200 cm to calculate the rate ( r) of growth in 2 days
- * r=200/ 2 * and we get the answer 100 cm


Si ya media 50 cm antes de que se fuera, como 2.5 m es igual a 250 cm, a los 250 le quitas los 50 que ya tenia y como se fue por 2 dias, divides entre dos el resultado. Entonces el resultado es 100.

Tallal Jamshed
Jan 30, 2014

2.5 meter (250 cm) high celing gets damaged after 2 days the bamboo was already 50 cm tall which means the bamboo grew 200 cm in 2 days and 100 cm per day

Aiswaria Lakshmi
Jan 29, 2014

We can assure that total height of the bamboo , when he returned to home is 2.5m .Intial height was 50cm so after 2 days it make up to 250cm. 250-50=200cm difference then each day bammboo growed upto 100cm.The answer is 100cm

Lucky Khan
Jan 26, 2014

It is because the initial height of bamboo was 50 cm and its total height after 2 days became 250 cm = 2.5 m, so the increase is 200 cm in two days which means that the bamboo had grown with the speed of 100 cm/day.

Atharv Phale
Jan 26, 2014

The Bamboo plant was 50 cm tall and ceiling was 250 cm high. So distance between plant and ceiling is 250-50=200 Number of days is 2. So,growing speed of bamboo= 200/2=100 cm/day

Sunil O.R
Jan 24, 2014

2.5 m is equal to 250 cm so when he brought the bamboo it was 50cm , so do this 250-50=200 cm ,he left home for 2 days so tree grow for 100 cm per day

Robert Fritz
Jan 24, 2014

All that you had to know was how many cm are in a meter. 1m=100 cm. since the plant already had a height of 50 cm, you subtract that from the height in cm which was 250-50=200, then divide that by days to equal 100cm

Chris Lee
Jan 24, 2014

(250cm - 50cm ) / (2 days) = How much did the bamboo grows in a day.

200/2 = 100

But this is tricky, the answer can be anything from 101 to 250. Because the bamboo did push through the 2.5 m high ceiling. If it is 100, The bamboo will just high enough to reach the ceiling and will not push through. Correct me if I am wrong.

the ceiling is =2.5 m or (2.5*100)cm=250cm in height the bamboo has grown up=(250-50)=200cm in height so,growing rate per day=200/2=100cm

Anish Mukherjee
Jan 23, 2014

Growth in height of bamboo in 2 days = (250-50)cm = 200 cm So growth in height per day = 200/2 cm = 100 cm

Sam Helfgott
Jan 23, 2014

50 * 2 = 100

Sukanta Kalai
Jan 23, 2014

2.5 meter = 250 cm

Bamboo was 50 cm tall So, 250-50 = 200 cm After 2 days, 200/2 = 100 cm

Ziyad Hassan
Jan 23, 2014

1 Metre have 100 Cm. so 2.5 M=250 Cm, 50+200=250 200/2=100cm/day

height of the sealing = 2.5 m = 250cm, h of bamboo = 50 cm , Growth in 2 days = (sealing height - actual height)/number of days = 250-50/2 =100

Sam Mathai
Jan 21, 2014

1 m = 100cm.

Therefore, the present total height i.e. 2.5 m=250cm.

The bamboo was 50cm tall when purchased. Meaning the remaining height of 200cm grew out during the 2 day weekend. Divide this by 2 and we can see that the bamboo grew by 100cm a day.

Muhammad Sharif
Jan 21, 2014

simple question: initial height=50cm rate of growing per day=250cm max height of ceiling=2.5x100=250cm as after 2 days trips it was as high to damaged the ceiling so it means that at that time it achieved 250 cm height. it grew in 2 day=250-50=200 per day growth=200/2=100

Shashwat Pragya
Jan 21, 2014

the initial height of the bamboo is 50 cm. and the distance(hieght) beetween floor and cieling is 2.5m or 250 cm. now the distance required by the bamboo to grow is 250 - 50 = 200 cm so it grew 200 cm in 2 days now we can apply the formua for speed but it can be determined intutively that growth of bamboo per day = 200/2 = 100cm/day and hence 100 is the answer

Mukhlish Akhtar
Jan 20, 2014

50+2 x = 250 on solving x =100

May Yen See
Jan 20, 2014

The initial height of the bamboo is 50cm (assume include the height of the vase) The height of the ceiling is 2.m which is same as 250cm. Since Sam go out for 2 days, so (250-50)cm / 2 days = 100cm/day

Lakshmi Tumati
Jan 20, 2014

There are 100 centimeters in a meter, which means that his ceiling was 250 centimeters high. The bamboo he purchased was already 50 centimeters tall, so that means it grew 200 centimeters in 2 days. 200/2= 100

Venky Enumula
Jan 20, 2014

Bamboo plant height initially.. 50cm Height of the ceiling is 2.5m i.e 250cm "from ground but not above the Bamboo tree's height" Hence increased height is 200cm in 2 days i.e 200cm/2days=100cm/day

Manish Raut
Jan 20, 2014

2.5 m means 250 cm. On first day height of bamboo was 50 cm. After 2 days height became 250 cm. So increase in height is 200 cm. So increased height per day is 200 divide by 2 = 100 cm

Archana Mohanty
Jan 20, 2014

length of bamboo while purchasing it=50 cm height of the ceiling=2.5 m=250 cm length of the grown bamboo=250 cm-50 cm=200 cm according to the question,Sam left the bamboo for 2 days,so in 2 days the bamboo has 200 cm. in 1 day the bamboo has grown=200/2=100 cm (Ans)

Manoj Pillai
Jan 19, 2014
  • Height of ceiling = { 2.5 m = 250 cm }
  • Initial height of plant = { 50 cm }
  • Distance to ceiling = {250 - 50 = 200 cm}
  • Time = { 2 days }
  • Rate of growth (cm/day) = { 200/2 = 100 cm/day }
William Bishop
Jan 19, 2014

The growth rate is UP TO 250 cm a day. This does not mean it's going to be 250 cm in growth every day. Skipping ahead, I see that his ceiling is 2.5 meters high. One meter is 100 centimeters, so I go back to 50 cm, and I imagine 250-50, which is 200. Now, that 200 cm in growth happens in 2 days. 200/2=100 cm.

Krishna Bhati
Jan 19, 2014

Height of the ceiling = 2.5 m =250 cm Initial height(i) = 50 cm Height of the plant grown = 200 cm No. of days = 2

Therefore per day growth= 200/2 = 100 cm

Ankit Kalra
Jan 19, 2014

Initial height of bamboo is 50 cm Final height of bamboo is 2.5m =250cm Height increased is 250-50=200 average growth =Increase in height/no of days=200/2=100cm ANSWER

Lovely Javier
Jan 19, 2014

2.5 m=250 cm we then subtract 50 cm from 250 cm since it has grown up already = 200 cm we divide 200 cm by 2 since there are 2 days and the only asked is how fast did it grow "per day" so, 100 is the answer.

A whole bunch of math nerds and only a few muddy boots engineers among you. For the ceiling to be damaged/pushed through the bamboo had to grow > 100 cm per day. The only multiple choice answer >100 cm was 150 cm. Therefore 150 cm is the only possible answer.

Tim Fox - 6 years, 5 months ago
Pushpendra Singh
Jan 19, 2014

plant was of 50 cm, ceiling of 2.5 m=250 cm, hence net growth of plant for 2 days=200 cm, for 1 day=200/2=100 cm/day.

Vibha Sharma
Jan 18, 2014

let the bamboo can grow x cm in one day. when Sam bought it its height=50 cm height of ceiling=2.5 m=2.5*100 cm=250 cm after 2 days height is 50+x+x=250 50+2 x=250 2 x=250-50=200 x=200/2=100 bamboo can grow in one day=100cm

Mohammed Ghazal
Jan 18, 2014

When he returned 2 days later, bamboo grew from 50 cm to 2.5 m (250 cm) so it grew 200 cm in 2 days so it grew 100 cm for day.

Muhammad Usman
Jan 18, 2014

((2.5*100)cm-50 cm)/2

Vishwateja Sonu
Jan 18, 2014

actually 2.5 mtrs means 250 cm and the plant is of 50 cm when sam brought to his home his house ceiling is of 250 cm he went to trip for 2 days and the final step is............ 250 -50=200 200cm divided by 2 days=> 200/2=100

hence proved

Deepam Gupta
Jan 18, 2014

It was a Very simple Question. We Know, Speed= Distance/Time. Here, D=2.5m=250cm )of ceiling ), but the tree is already 50cm long. Therefore, Remaining Distance=250-50=200cm. D= 200cm t=2 days substituting the values, S=200/2=100cm/day!!!!!!!!!!

Jannatul Nayeem
Jan 18, 2014

When Sam put the plant , it was 50cm or 0.5m.

After 2 days the plant reached (2.5-.0.5)= 2m So after 1 day the plant reached (2/2)=1m or 100cm

So the growth of the plant 100cm per day.

Raghav Dua
Jan 17, 2014

distance covered = 250cm - 50cm = 200cm; time taken = 2 days; speed = distance / time

Thus, 200 / 2 =100cm / day is the growth rate

Nitish Sharma
Jan 17, 2014

1 m = 100 cm increase in height of bamboo tree = 2.5m i.e. 250 cm - 50 cm = 200 cm growth in 2 days = 200 cm growth in 1 day = 200/2 = 100cm

It was damaged if 100 is the correct answer it wouldn't be damaged i can't get it :(

Omar Ali - 7 years, 4 months ago

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