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A train is moving with a speed of 18 km/h. Ali is late to board the train and starts running when the train is already 110 m ahead. He increases his speed by 2 m/s after running for 5 seconds. If he is able to catch the train after running for 1 minute, what is his original speed?

A train is moving with a speed of 18 km/h. Ali is late to board the train and starts running when the train is already 110 m ahead. He increases his speed by 2 m/s after running for 5 seconds. If he is able to catch the train after running for 1 minute, what is his original speed? Correct Answer 5 m/s

Speed of train = 18 km/hr = 18 × (5/18) = 5 m/s

Distance travelled by train in 1 minute or 60 seconds = 5 × 60 = 300 m

Let the initial speed of Ali be x m/s and speed of Ali after 5 seconds = x + 2 m/s

Distance travelled by Ali in first 5 sec = 5x

Distance travelled by Ali in next 55 sec = 55(x + 2)

Total distance travelled by Ali = distance travelled by train + headstart

∴ 55(x + 2) + 5x = 300 + 110

⇒ 55x + 110 + 5x = 410

⇒ 60x = 300

⇒ x = 5 m/s

Hence, his original speed is 5 m/s.

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