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Re: Two trains (Train A and Train B) leave their stations at exactly 6 pm [#permalink]
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dawnphilip wrote:
I saw the reply from another person but couldn't quite understand

­Two trains (Train A and Train B) leave their stations at exactly 6 pm, travelling towards each other from stations exactly 60 miles apart. There are no other stops between these two stations. What time does Train B arrive at its destination?

We know the distance between the cities and the departure time, hence to get the arrival time, we need the speed of Train B. Assuming x is the speed of Train A and y is the speed of Train B, we need to find the value of y.

(1) Train A travels twice as fast as Train B.

The above only gives the ratio of speeds: x = 2y, which is not enough to determine y. Not sufficient.

(2) At 6:40 pm, the two trains pass each other. ­

This above implies that in 40 minutes, or 2/3 of an hour, the trains covered 60 miles, so 60/(x + y) = 2/3, which gives x + y = 90. This alone is not sufficient to determine the value of y.

(1) + (2) We have two distinct linear equations with two unknowns: x = 2y and x + y = 90. We can solve these to find the value of y. Sufficient.

Answer: C.
GMAT Club Bot
Re: Two trains (Train A and Train B) leave their stations at exactly 6 pm [#permalink]
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