A train X departs from station A at 11.00 a.m. for station B, which is 180 km away. Another train Y departs from station B at 11.00 a.m. for station A. Train X travels at an average speed of 70 km/hr and does not stop anywhere until it arrives at station B. Train Y travels at an average speed of 50

Question

A train X departs from station A at 11.00 a.m. for station B, which is 180 km away. Another train Y departs from station B at 11.00 a.m. for station A. Train X travels at an average speed of 70 km/hr and does not stop anywhere until it arrives at station B. Train Y travels at an average speed of 50 km/hr, but has to stop for 15 minutes at station C, which is 60 km away from station B enroute to station A. Ignoring the lengths of the trains, what is the distance, to the nearest km, from station A to point where the trains cross other?

Accepted Answer

112 — Let us assume that they meet after t hours. &there4; 70 &times; t + 50 t - 1 4 = 180 120t = 192.5 t = 192 . 5 120 &there4; The trains should meet at = 192 . 5 120 h r s &times; 70 k m h r s &cong; 112 km Hence, option (a).

CAT 2001 — QA Question 31

Answer & solution