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The metro service has a train going from A to B and from B to A every

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The metro service has a train going from A to B and from B to A every  [#permalink]

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New post Updated on: 14 Jul 2018, 07:01
3
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A
B
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D
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Difficulty:

  45% (medium)

Question Stats:

68% (03:15) correct 32% (02:07) wrong based on 19 sessions

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The metro service has a train going from A to B and from B to A every hour, the first one at 6 AM. The trip from one city to other takes 4.5 hours, and all trains travel at the same speed. How many trains will you pass while going from A to B if you start at 12 noon?

1) 8
2) 9
3) 10
4) 13
5) 12

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Originally posted by GoonerForever on 14 Jul 2018, 06:22.
Last edited by GoonerForever on 14 Jul 2018, 07:01, edited 1 time in total.
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Re: The metro service has a train going from A to B and from B to A every  [#permalink]

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New post 14 Jul 2018, 06:41
1
The train starts from A to B at 12 noon. Lets name it X

The train X reaches its destination B at 4:30 PM

On its path X will meet all the train that start from B and have an arrival time at station A \(\geq\) 12 and < 4:30 PM

The number of trains that have an arrival time at A \(\geq\) 12 and \(\leq\) 4:30 PM are the following trains

Trains that starts at 8AM, 9AM, 10AM, 11AM => 4 trains

On its path X will also meet all the trains that start from B and have an start time at station B \(\geq\) 12 and \(\leq\) 4:30 PM

The number of trains that have a start time at B > 12 and \(\leq\) 4:30 PM are the following trains

Trains that starts at 12noon, 1PM, 2PM, 3PM, 4PM => 5 trains

In total 9 trains.

Hence option B
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Re: The metro service has a train going from A to B and from B to A every &nbs [#permalink] 14 Jul 2018, 06:41
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