S1 and S2 are two stations which are 195 km apart. A train starts from S₁ at 4:00 pm and moves towards S₂ at the speed of 65 km/h. Another train starts from S₂ at 5:00 pm and moves towards S₁ at the speed of 35 km/h. At what time will the two trains meet?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 6:18 p.m.
Train 1 starts from S1 at 4:00 PM and travels towards S2 at a speed of 65 km/h.
Train 2 starts from S2 at 5:00 PM and travels towards S1 at a speed of 35 km/h.
Distance covered by Train 1 in 1 hour = Speed × Time = 65 km/h × 1 hour = 65 km
The initial distance between the trains is = 195 km
After 1 hour Remaining distance = 195 km − 65 km = 130 km
The trains are moving towards each other, so their relative speed = 65 km/h + 35 km/h = 100 km/h
Time taken to cover the remaining distance of 130 km =
1.3 hours = 1 hour + 0.3 hour = 1 hour + 18 minutes
Train 2 starts at 5:00 PM.
Adding 1 hour and 18 minutes to this start time:
5:00 PM + 1 hour + 18 minutes = 6:18 PM