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
Answer (1)
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
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
Comments (0)
Related Questions
Trending Articles/News
