IE vs Fireofox

Algebra Level 2

If Mozilla Firefox is 66.66 66.66 % faster than Internet Explorer, and it takes 1 1 hour for a file to download in Internet Explorer, how many minutes will it take for the same file to download in Mozilla Firefox?

36 90 40 48

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Muzaffar Ahmed by Muzaffar Ahmed , 21, India

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24 solutions

Muzaffar Ahmed
May 22, 2014

Speed of Internet Explorer = S e S_e

Speed of Mozilla Firefox = S f = S e + 66.66 S_f = S_e + 66.66 % × S e = 5 3 S e \times S_e = \frac{5}{3} S_e

Length of file = a a

Time taken for file to download in Internet Explorer = T e T_e = a S e = 60 m i n u t e s \frac{a}{S_e} = 60 minutes

⟹ a 60 = S e \implies \frac{a}{60} = S_e

Time taken for file to download in Mozilla Firefox = T f T_f = a S f \frac{a} {S_f}

⟹ a 5 3 S e \implies \frac{a}{ \frac{5}{3} S_e }

⟹ a 5 3 × a 60 \implies \frac{a}{ \frac{5}{3} \times \frac{a}{60} }

⟹ a 5 a 180 \implies \frac{a}{ \frac{5a}{180} }

⟹ T f = 180 a 5 a = 36 m i n u t e s \implies T_f = \frac{180 a}{5 a} = \boxed{36} minutes

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By ratio and proportion. 1/x=1.66/1 .where x is Time in hrs is equal to 1/1.66=.6024 to convert in mins times 60 then you'll get 36.14

Romnick Manio - 7 years ago

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Why is it 1.66?

Muzaffar Ahmed - 7 years ago

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1/x=1.66/1 It will take 1.66 times speed of ie to be be equal with mozilla speed. It will take 1hr to dl the file for ie while xhr for mozilla. Constant file which is one.

Romnick Manio - 7 years ago

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@Romnick Manio – It must be 1.6666

Muzaffar Ahmed - 7 years ago

@Romnick Manio – Ie speed=1file/1hr MF Speed=1file/xhr Ie speed (1hr)=MF speed (xhr) Ie speed (1hr)=(1.66 × Ie speed)(xhr) X=1/1.66=0.6024 hr

Romnick Manio - 7 years ago

M -> Speed of Mozilla I -> Speed of IE

M(1 + (66.66/100)) = I I = 1hr = 60 mins

Therefore, M(166.66/100) = 60 M = 60*100/166.66 = 36 mins.

Vivek Prasan - 7 years ago

Ok careful 'cause here comes the village idiot. Why is it not correct to just think: 1% of 60 mins is 0,6 mins, 0,6*66,66 = 40, so 60-40 = 20 minutes for Firefox?

Ricardo Leclaire - 6 years, 10 months ago

Time taken by M. firefox is inversely proportional to that of I.E. . therefore time taken by IE I hr= 60 mins . is to be multiplied by the ratio 100/166.66, which gives us, the required answer: : 36.mins.

Jagan mohan rao - 6 years, 10 months ago

You should have said the answer must be in min

Phong Nguyen - 7 years ago

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Yeah.. My bad.. Sorry.. I corrected it now :)

Muzaffar Ahmed - 7 years ago

Internal explorer will tale 1.6666 times more than Mozilla firefox.So if it took i hr to unload the file Mozilla Fire fox will take 1/1.6666 X60 mts that is 36 mts Ans K..GARG,India

Krishna Garg - 7 years ago

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Simple solution, THUMBS UP!

Brendix Emata - 5 years, 4 months ago

You should also mention upto how much decimal place one should answer.

Suyash Mittal - 7 years ago

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There is no decimal :)

Muzaffar Ahmed - 7 years ago

100/166 of an hour = 36 mins

Barry Evans - 6 years, 11 months ago

Please raise my level. Gerald Rains

Gerald Rains - 6 years, 11 months ago

If suppose Mozilla takes one hour to down load a file, internet will take 1.66 hours to down load a file. Hence, if internet takes one hour (60 mins) to download a file, then mozilla firefox will take 60/1.6666 or 36 mins to download a file.

Muhammad Arslan Maan - 6 years, 9 months ago

WRONG, WRONG. If something is 50% faster, it should take half of the time to complete. If somthing is 66% faster, it should then take less than 30 min to complete (less by the amount of 16.67% of an hour to be more specific)

Jorge Lopez - 5 years, 4 months ago

bt m getting 39

Akanksha Chauhan - 7 years ago

You could add another option for those people that incorrectly think Firefox takes (60 - 0.6666 x 60 ) =20.004 mins to dolwnlolad.

Sajjad Rs - 6 years, 11 months ago

Simply think that IE can download 10 MB/min , it will be 600 MB/hour , if Firefox is 66.66% faster, it will download 16.66 MB/min , just divide 600 by 16.66 ! It will be 36 minutes , very simple!

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Brazilians are good!

Kinshu Kr. - 6 years, 11 months ago
Wavy Everest
May 27, 2014

166% : 100% = 5/3 : 1

Therefore, for 1hour , MFox only takes 3/5 of the time 1hr x 3/5 = 36min.

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Ken Graf
Jun 4, 2014

An hour is 60 minutes. 60 / 1.6666 = 36

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Sri Prasath
Jun 6, 2014

Moz-100% IE-100+66%, Moz time 60min , IE - 60/1.66=36

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Aronas Nuresi
May 27, 2014

1 x = 1 60 × 100 + 66.66 100 \frac{1}{x}=\frac{1}{60}\times\frac{100+66.66}{100}

x = 36.001 mins x=36.001 \text{ mins}

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DarkMind S.
Feb 14, 2017

(60 - x )/ x = 66.66/ 100

6000 - 100x = 66.66x 166.66x = 6000

X = 36.00 !!

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Andrew Bone
Jan 2, 2016

Rate = Quantity / Time, so Rate and Time are inversely proportional.

Rate x Time = Quantity.

Since the Quantity (data that is downloaded) is constant then the time will be the reciprocal factor of the rate.

I took 66.66% to be the equivalent of 2/3 so that Firefox's rate is 1+ 2/3=5/3 of Internet Explorer's rate.

Therefore Firefox's time would be 3/5 of IE's time.

3/5 of 60 minutes is 36 minutes.

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Hideki Nakamura
Dec 22, 2015

Just a note: I think this question is not accurate. The browser used has no (or little) influence in the time needed to download the file. If the internet link speed is the same, the time would be the same.

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File /Download speed of IE=60min -----(1) File/ 1.66 x Download speed of IE=60min/1.66 =6000/166=36.144578

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Tao Lu
Nov 23, 2014

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Lu Chee Ket
Jul 30, 2014

s = v t => 1.6666 t = 1.0000 x 60 => t = 36.00

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Gerald Rains
Jul 16, 2014

Why all of the steps? (60/1.66) = 36.144578

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Kinshu Kr.
Jul 16, 2014

The approach of the qs is x%(e.g.66%) of the existing stuff(e.g. 1hr of download period)

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Rajendra Prasad
Jul 7, 2014

Let X=speed of mozilla, & Y=speed of internet

taking file size as 180 units, speed of internet Y=file size/ time taken =180/60=3

Also from the given data, speed of mozilla, X=.0.6666*3 + 3 =4.99999 =5(approx)

thus time taken for the mozilla is = file size/speed =180/5 =36min,

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Milly Choochoo
Jun 17, 2014

Simply choose the shortest time - Internet Explorer is just that slow.

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Chandan Kumar
Jun 15, 2014

Letspeed of IE be x Then a/q speed of mozilla =166/100x work =speed time i.e. x 60(speed of ie and time taken in minutes? Now you have another speed divide it as 60x/166x/100=36 minutes

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Ambuj Mishra
Jun 15, 2014

(100/166)*60= 36.14 minutes ~ 36 minutes

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Zahir Rayani
Jun 6, 2014

Lets say, speed of internet explorer = 100mb/hr Then, speed of firefox = 166mb/hr ==> 66% faster 1 hr = 60 minutes

166:100=60:x

x=36.14 mins

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Mostafa Algammal
Jun 5, 2014

if you let Firefox (x) speed
IE (y)speed

x speed of FIREFOX =y+.66y=1.66y
time=c*speed^(-1) c is constant
speed1/spead2=time2/time1
1/1.66=x(time)/60
so x(time ) of Firefox is =60/1.66=36 min
.




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Akshitha Ganji
Jun 5, 2014

we can think mentally and we can say the answer

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Yash Karavat
Jun 4, 2014

let downloading speed be 1mb per min in IE, then total data downloaded by IE is 60mb. Since mozilla has speed 66% more then IE so its speed will be 1+66/100*1=1+0.66=1.66mb per min. Now to download 60mb, it will take 60/1.66 = 36min.

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Sourayan Banerjee
May 27, 2014

Let us consider the speed of internet explorer x,so the mozilla will get a speed of (166.66/100) x so in x speed the file is downloaded in 60 mins so simply in (166.66/100) x it will take approx 36 mins.

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Krishna Garg
May 27, 2014

Simply divide 1/1.6666 ( speed faster by 66.66%)and multiply by 60 mts that is 36 mts Ans

K.K.GARG,India

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The confusion of "x% faster" begins for me when you try and consider what "-x% faster" means. http://math.stackexchange.com/questions/12768/what-does-1-13-times-faster-mean has some discussion on this topic. Generally, it is accepted in math word problems that "x% faster than" means what it says: (additionally) faster than. But "only x% as fast as", which is a similar but differently worded expression, would generally mean slower than. With math or statistics word problems, you just have to go by the generally accepted terminology. That means that students have to practice these kinds of word problems to understand how to interpret them. Otherwise, it might be easy to mistake the meaning. For example, if you read this problem to mean Firefox is "only 66.66% as fast as IE", then you might think the answer was 60*(1/66.66%) = 60 * (3/2) = 90 minutes.

Richard Levine - 6 years, 11 months ago

I seem to be making a mistake that I can't find. If FF download time is .3334 (1-.6666) that of IE then if IE takes 60 min it follows that FF takes 20 min.

Clay Young - 7 years ago

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Your mistake is that when the question says fireox is 20% faster, it doesn't mean firefox takes 20% less time to download . Note that Unit of speed is Bit/Seconds, but unit of time is Seconds.

Sajjad Rs - 6 years, 11 months ago

I agree. Question is poorly phrased. 66.66% faster is ambiguous.

Debra Needham - 6 years, 11 months ago

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