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A jogger passes by a tree while jogging and stops after 5 minutes. After 10 more minutes he encounters a train moving at speed of 60 m/s then find speed of jogger with which he was running if train of 120 m length crosses tree (last coach passes by tree) after 4 minutes after it encountered jogger (first coach passes by jogger)?

A jogger passes by a tree while jogging and stops after 5 minutes. After 10 more minutes he encounters a train moving at speed of 60 m/s then find speed of jogger with which he was running if train of 120 m length crosses tree (last coach passes by tree) after 4 minutes after it encountered jogger (first coach passes by jogger)? Correct Answer 47.6

Let speed of jogger is ‘x’ m/s

Distance between tree and stopping point of jogger = speed of jogger × time taken = x × 5 × 60 = 300x

Total distance covered by train = Length of train + distance between two points = (120 + 300x) m.

Time taken by train to cover it = total distance/ speed = (120 + 300x)/ 60 = 4 × 60

⇒ 120 + 300x = 240 × 60

⇒ 300x = 14400 – 120

⇒ x = 47.6 m/s

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