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# An athlete runs to and fro between points A

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Manager
Joined: 03 Nov 2018
Posts: 60
Location: India
Schools: LBS '21
GMAT 1: 580 Q44 V28
GMAT 2: 580 Q44 V28
GPA: 3.44
An athlete runs to and fro between points A  [#permalink]

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16 Jan 2019, 03:36
3
00:00

Difficulty:

85% (hard)

Question Stats:

32% (02:53) correct 68% (02:55) wrong based on 36 sessions

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An athlete runs to and fro 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
Manager
Joined: 01 May 2017
Posts: 82
Location: India
An athlete runs to and fro between points A  [#permalink]

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16 Jan 2019, 03:54
An athlete runs to and fro 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 ?

Question is not clear - Is the questions asks that when they will cross each other again from that point of time they crossed each other or from starting of the journey

First athlete run 2 KM after 12 minutes
d = time * speed
d = (12/60)*10 = 2 KM (1/60 to convert to hours)

First athlete run 3 KM after 12 minutes
d = time * speed
d = (12/60)*15 = 3 KM (1/60 to convert to hours)

So distance between A-B is 5 km

First time they meet at 2 Km from A and 3 Km from B

They will meet again in return trips when B travels 9 Km and A traveled 6 Km at 36th minute and after 24 mins of they crossed each other for first time
An athlete runs to and fro between points A   [#permalink] 16 Jan 2019, 03:54
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