A can run 250m in 25 sec and B in 30 sec How many metres start can A give to B in a km race so that ...........

Quantitative Aptitude (CPO) Time & distance

A can run 250m in 25 sec and B in 30 sec. How many metres start can A give to B in a km race so that the race may end in a

dead-heat?

This questions was previously asked in

SSC CPO 11th Nov 2022 Shift 3

169.53 m

173.82 m

166.67 m

186.34 m

- A can run 250m in 25 seconds, thus in 1 second, A runs 10 meters.

- B can run 250m in 30 seconds; hence in 1 second, B runs 8.33 meters.

- In a 1000m race, A finishes in 100 seconds (1000m/10m per second).

- In 100 seconds, B can run 833.33 meters (100 seconds * 8.33 meters/second).

- To result in a dead-heat, A must give B a start of 166.67 meters (1000m - 833.33m).

- So, A can give B a head start of 166.67 meters for a tie.

Answer: 3, 166.67 m

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