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Need shorter way to solve the train crossing problem

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Joined: 24 Sep 2017
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Need shorter way to solve the train crossing problem [#permalink]

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New post 17 Oct 2017, 12:14
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A train X departs from station A at 11.00 am for station B, which is 180 km away. Another train Y departs from station B at 11.00 am for station A. Train X travels at an average speed of 70 kms/hr and does not stop any where until it arrives at station B. Train Y travels at an average speed of 50 kms/hr, but has to stop for 15 minutes at station C, which is 60 kms away from station B enroute to station A. Ignoring the lengths the train, what is the distance, to the nearest km, from station A to the point where the trains cross each other?

A. 112
B. 118
C. 120
D. 122
E. Cant be determined


I have solved the problem, but I want to get smarter way to solve it. Please help.

Last edited by anupamdev on 17 Oct 2017, 12:30, edited 1 time in total.

Kudos [?]: 6 [1], given: 5

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Kudos [?]: 248 [0], given: 33

Location: India
Schools: Mannheim"19 (S)
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Re: Need shorter way to solve the train crossing problem [#permalink]

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New post 17 Oct 2017, 12:24
anupamdev wrote:
A train X departs from station A at 11.00 am for station B, which is 180 km away. Another train Y departs from station B at 11.00 am for station A. Train X travels at an average speed of 70 kms/hr and does not stop any where until it arrives at station B. Train Y travels at an average speed of 50 kms/hr, but has to stop for 15 minutes at station C, which is 60 kms away from station B enroute to station A. Ignoring the lengths the train, what is the distance, to the nearest km, from station A to the point where the trains cross each other?

I have solved the problem, but I want to get smarter way to solve it. Please help.


Hi anupamdev

Can you present the question is a GMAT format? Users will not be able to help you out if not presented in GMAT style.

Kudos [?]: 248 [0], given: 33

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Joined: 02 Sep 2009
Posts: 42258

Kudos [?]: 132703 [0], given: 12335

Re: Need shorter way to solve the train crossing problem [#permalink]

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New post 18 Oct 2017, 08:07
anupamdev wrote:
A train X departs from station A at 11.00 am for station B, which is 180 km away. Another train Y departs from station B at 11.00 am for station A. Train X travels at an average speed of 70 kms/hr and does not stop any where until it arrives at station B. Train Y travels at an average speed of 50 kms/hr, but has to stop for 15 minutes at station C, which is 60 kms away from station B enroute to station A. Ignoring the lengths the train, what is the distance, to the nearest km, from station A to the point where the trains cross each other?

A. 112
B. 118
C. 120
D. 122
E. Cant be determined


I have solved the problem, but I want to get smarter way to solve it. Please help.


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Kudos [?]: 132703 [0], given: 12335

Re: Need shorter way to solve the train crossing problem   [#permalink] 18 Oct 2017, 08:07
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