Over a 1.2 km race the speeds of Mohit and Navin are in the ratio 5 : 4, and Mohit wins by 1 minute. Mohit then gives Navin a 150 m start over the same distance. Who wins and by how many seconds?

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Accepted Answer

Mohit by 22.5 s. Times are in the ratio 4 : 5 and differ by 60 s, so Mohit takes 240 s and Navin 300 s (Navin's speed 4 m/s). With the start Navin runs 1050 m: 1050/4=262.5 s. Mohit wins by 262.5-240=22.5 s.

Over a 1.2 km race the speeds of Mohit and Navin are in the ratio 5 : 4, and Mohit wins by 1 minute. Mohit then gives Navin a 150 m start over the same distance. Who wins and by how many seconds?

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