Train X departs from station A at 11 a.m. for station B, which is 180 km so far. Train Y departs from station B at 11 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 min 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 kilometre, from station A to the point where the trains cross each other? Choose the correct choice from the following choices:
A) 112 km
B) 118 km
C) 120 km
D) None of these
E) Cannot be determined
Explanation :   Total time taken by B to cover 60 km   60/50 hr i.e 6/5 hr.   It stops at station C for 1/4 hr   Now , in (6/5 + 1/4) hr , train X travels 70 x (29/20) = 101.5 km.   This means they do not cross each other by the time train Y finishes it stops at station C.   Let they meet after t hour.   Then, 70t + 50(t- 1/4) = 180.   t = 192.5/120 hr.   Distance from A will be 70 x 192.5/120 km i.e 112 km approximately.   112 kmnswer : 112 km
<result>A</result>
Train X departs from station A at 11 a.m. for station B, which is 180 km so far. Train Y departs from station B at 11 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 min 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 kilometre, from station A to the point where the trains cross each other?