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Bunuel
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An athlete runs to and fro between points A and B at a speed of 10 km/ 25 Nov 2021, 06:45
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29% (02:35) correct 71% (03:01) wrong based on 93 sessions

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An athlete runs to and from between points A and B at a speed of 10 km/hr. A second athlete simultaneously runs from point B to A and back at a speed of 15 km/h. If they cross each other 12 minutes after the start, after how much time from the start will they cross each other the second time?

(A) 18 minutes
(B) 24 minutes
(C) 36 minutes
(D) 48 minutes
(E) None of these
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C
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An athlete runs to and fro between points A and B at a speed of 10 km/ 18 Dec 2021, 09:35
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Bunuel
An athlete runs to and from between points A and B at a speed of 10 km/hr. A second athlete simultaneously runs from point B to A and back at a speed of 15 km/h. If they cross each other 12 minutes after the start, after how much time will they cross each other ?

(A) 18 minutes
(B) 24 minutes
(C) 36 minutes
(D) 48 minutes
(E) None of these
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distance b/w A&b 5 km ( combined speed 25km/h in 12 minutes they travel 5 km)
in order to meet again they have to travel 10 with combined speed of 25, hence extra time required is 24 minutes
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An athlete runs to and fro between points A and B at a speed of 10 km/ 05 Nov 2023, 03:04
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A travels in 10 km/hr so for 12 mins he travels 3 km and B travels 15 km/hr so he travel 2 km for 12 mins hence they meet each other at this point, total distance is 5 km

In 30 mins A reaches the destination, but B traveled to destination and returned half way back again since his speed is 15 km/hr. So it will take less then 12 mins for them to meet again this time. Hence the only ans is 36

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An athlete runs to and fro between points A and B at a speed of 10 km/ Updated on: 01 Dec 2025, 08:41
Originally posted by kosukhov on 30 Nov 2025, 04:56.
Last edited by kosukhov on 01 Dec 2025, 08:41, edited 1 time in total.
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I believe you need to adjust the wording. It's unclear whether we need to find the time since the start or the time since the first meeting.
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An athlete runs to and fro between points A and B at a speed of 10 km/ 30 Nov 2025, 05:15
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kosukhov
I believe you need to adjust the wording. It's unclear whether we need to find the time since the start of the time since the first meeting.
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Done. Thank you!
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An athlete runs to and fro between points A and B at a speed of 10 km/ 30 Nov 2025, 23:47
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Let they met at X ... Which is somewhere between A and B....
When they met.....one ran from A to X... another ran from B to X... together they ran da whole lap in 12 minutes.....
Now after they met.....
......one will run from X to B... another will run from X to A...then both will turn around and run again and meet at Y for da second time..... Y is somewhere between A and B....
So....AFTER they first met at X and UNTIL they met second time at Y....
.... together they covered = [ X to B ] + [ B to Y ] + [ X to A ] + [ A to Y ] = [ A to B ] + [ A to B ] = 2 [ A to B ] = 2 whole lap

................ because ................[ X to B ] + [ X to A ] = [ A to B ]... and.... [ A to Y ] + [ B to Y ] = [ A to B ] .....

So... After they met at X... they ran 2 laps and met at Y for da second time ....
And... They need 12 minutes to run a lap together....so they'll need 24 minutes to run 2 laps together....
so.... they met at Y ... 24 mins after they met at X ...and they met at X ... 12 mins after da start...
So... They met at Y ...in other words....they met again..... 24 + 12 = 36 mins after da start....
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