Time and Time

Algebra Level 1

Last night, the power tripped and my electronic clock reset stopped. I am trying to reset it.

Ajit says that it is 2 x 2x minutes to 4 o'clock, and Vijay says that it is 3 x 3x minutes past 3 o'clock. If both are correct, what is the time now?

3 hours and 36 minutes 3 hours and 24 minutes 4 hours and 24 minutes 3 hours and 12 minutes

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Anuj Shikarkhane by Anuj Shikarkhane , 19, India

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10 solutions

Palash Som
Oct 17, 2014

we know that the time in hour must be 3 and that the minutes is 3x.

and we also know that 2x is required for time to be exactly 4 .

so the equation formed will be 3x +2x = 60

solving we get x = 12 so 3x = 36 therefore time =--3 hours---36 minutes

16 Helpful 0 Interesting 0 Brilliant 0 Confused

Nice solution!!! good job!!!

Sahba Hasan - 6 years, 7 months ago

okay...i understand now clearly

Sushmita Vh - 6 years, 7 months ago

bt hw can u tell tat its 36 minutes

mitali savant - 6 years, 7 months ago

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You use algebra. Since 3x + 2x = 60, 5x = 60. If you divide two equal quantities by the same thing, they're going to stay equal. So, dividing both sides by 5, you get 5x/5 = 60/5. If you multiply x by 5 then divide it by 5, they cancel, so you're just left with x = 60/5, which you calculate to be 12. Since x= 12 and Vijay says it's 3x minutes past 3:00, he's actually saying it's 3 X 12 minutes past 3:00, or 36 minutes past 3.

Alex Bean - 6 years, 7 months ago

ohkkk i got it actually i was confused..... between two sums of the same type

mitali savant - 6 years, 7 months ago

I did exactly the same :)

Prashanth Nayak - 6 years, 7 months ago
Alamelu Kannan
Oct 18, 2014

(4 X 60)-2x= (3 X 60)+3x 240-2x= 180+3x 240-180=2x+3x 60=5x 12=x

4hrs-24mts=3hrs+36mts

3 Helpful 0 Interesting 0 Brilliant 0 Confused

nice problem

Alamelu Kannan - 6 years, 7 months ago

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😃 Thanks..

Anuj Shikarkhane - 6 years, 7 months ago

nice solution.

padma vathi - 6 years, 7 months ago
Jp de Jesus
Oct 26, 2014

trial and error and workback

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Bhagyashree Garge
Nov 27, 2014

3 x= 3 12 2x=2 12 sum 60

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Saumil Jain
Nov 6, 2014

Taking time as y The two equations will be 240-2x=y 180+3x=y From these two equations we get 5x=60 x=12 Therefore, the time is 240- 12(2)=216in Hencw the time is 3 hours 36 mins

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Ryan Mark Joromo
Nov 4, 2014

2x+3x=60 mins. 5x=60 mins 5x/5=60 min/5 x=12

let x=12 therefore 2x+3x=60 2(12)=24 3(12)=36

Vijay says that it is 3x or 3(12)=36 minutes past 3'o clock.

3 hrs. + 36 mins. = 3 hrs and 36 mins.

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Shoukat Siddiqui
Oct 21, 2014

2 a to 4'o clock and 3 a past 3'o clock if a=12 then 2*a=2 * 12=24 and 3 * a =3 * 12=36 thus 24 min to 4'o clock and 36 min past 3 are same time

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Ramesh Perumal
Oct 19, 2014

240-2x=180+3x 5x=60 x=12 24 min to 4 is 3hr 36min

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Sandesi Sai
Oct 18, 2014

simple in 4 ans only one ans have 2 roots

0 Helpful 0 Interesting 0 Brilliant 0 Confused

x=12, 3x=36 minutes,2x= 24 minutes

0 Helpful 0 Interesting 0 Brilliant 0 Confused

It's actually 4 minutes

Elian Joseph - 6 years, 7 months ago

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