Ashutosh Singh

A train travelling at 60km per hour leaves station A at 3.00.p .m. and an another train leaves the same station in the same direction at 5.00 p.m. at the speed of 75 km per hr.How many kilometres from station A will the trains be together?

There are two methods to solve this question. First:- Suppose Train A and train B meet after traveling the distance of X k.m. As we know Time =total distance/ speed So time taken by train A is X/60 And time taken by train B is X/75 But we know train B is faster and start after 2 hours of train A. So train B take 2 hour less then train A So equation would be (X/60) –( X/75) = 2 (5X-4X)/300 = 2 X= 600 k.m. Second:- Suppose both trains meet after X hours. So distance travel by train A is 60X And distance travel by train B is 75X Because we know time*speed= total distance But we know that train B take 2 hour less in compare to train A So distance travel by train B= 75(X-2) So the equation would be 60X = 75(X-2) 60X= 75X-150 15X = 150 X = 10 Train A would take 600 k.m. distances to meet train B.