A and B run a kilometre and A wins by 25 sec. A and C run

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A and B run a kilometre and A wins by 25 sec. A and C run a kilometre and A wins by 275 m. When B and C run the same distance, B wins by 30 sec. The time taken by A to run a kilometre is

1. 2 min 25 sec
2. 2 min 50 sec
3. 3 min 20 sec
4. 3 min 30 sec

Correct Option: A

If A covers the distance of 1 km in x seconds, B covers the distance of 1 km in (x + 25) seconds. If A covers the distance of 1 km, then in the same time C covers only 725 metres.
If B covers 1 km in (x + 25) seconds, then C covers 1 km in (x + 55) seconds.
Thus in x seconds, C covers the distance of 725 m.

∴	x	× 1000 = x + 55
	725

⇒ x = 145
∴ A covers the distance of 1 km in 2 minutes 25 seconds.