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A train 300 meters long over took a man walking along the line (in the same direction as the train) at the rate of 4 km an hour and passed him in 30 seconds. The train reached the station in 15 minutes after it had passed the man. In what time did man reach the station?

A.	4.4 hr	B.	3 hr
C.	4.5 hr	D.	2.5 hr

Answer and Explanation

Answer:2.5 hr

Explanation:
let the speed of the train be s kmph, the train approaches the man at
=> The relative speed of (s â€“ 4) kmph
=> (300/1000)[1/(s + 5)] = 30 / 3600
=> s = 40 kmph
=> the distance to the station is 40(15/60) = 10 km
=> the man reaches the station in 10/4 = 2.5 hr

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