CAT 2018 Time, Speed and Distance Question (Hard)

Question

Train T leaves station X for station Y at 3 pm. Train S, traveling at three quarters of the 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 Z is three-fifths of that between X and Y. How many hours does train T take for its journey

Accepted Answer

Step 1 Define the variables and given conditions - Let the total distance between X and Y be D . - Let the speed of Train T be 4v . - The speed of Train S is three-quarters of Train T s speed, so 3v . - Train T takes t hours to travel the entire distance D . Thus, the distance D 4v times t . --- Ste

CAT 2018

Quantitative

Time, Speed and Distance

Hard

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