Question 75

X and Y are two stations which are 280 km apart. A train starts at a certain time from X and travels towards Y at 60 km/h. After 2 hours, another train starts from Y and travels towards X at 20 km/h. After how many hours does the train leaving from X meets the train which left from Y?

Solution

Distance between X and Y = 280 km

Speed of train which starts from station A = 60 km/hr

Distance covered in 2 hours = 60 $$\times$$ 2 = 120 km

Remaining distance = 280 - 120 = 160 km

Relative speed in opposite direction = 60 + 20 = 80 km/hr

Time taken to cover 160 km = 160/80 = 2 hr

Time taken when train leaving from X meets the train which left from Y = 2 + 2 = 4 hr

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