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Train T leaves station X for station Y at 3 pm. Train S, traveling at three quarters of tha speed of T, leaves Y for X at 4 pm. the two trains pass each other at a station Z, where the distance between X and X is three-fifths of that between X and Y. How many hours does train T take for X to Y


Gopal Chaturvedi 6th Nov, 2019
Answer (1)
ADITYA KUMAR Student Expert 6th Nov, 2019
Hello there!

Greetings!

It's quite an easy question,

First, let us consider that the total distance XY is = 5x so XZ = 3x and YZ = 2x


Ratio of time taken by train T and train S to reach Z from their respective Station = (3x/v : 2x/3v/4)


= 9 : 8


Thus ( 9t -1 ) = 8t


t = 1


so , now time taken by train T to cover 3x = 9 hour


so time taken by train T to cover XY ( 5x ) = 5/3 *9 = 15 hour


Thankyou

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