Question
The distance between town A and town B is 555 km. A train
leaves A at 7 a.m. at a speed of 60 km/h. Another train leaves B at 9 a.m. towards A at a speed of 90 km/h. At what time will they meet?Solution
The train from A starts 2 hours earlier.
Distance travelled = 60 × 2 = 120 km
Remaining distance = 555 – 120 = 435 km
Relative speed = 60 + 90 = 150 km/h
Time to meet = 435 / 150 = 2.9 hours = 2 hours 54 minutes
Meeting time = 9:00 a.m. + 2h 54m = 11:54 a.m.
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