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Question

# S can run a kilometer race in 9 min while T can run same race in 10 min. How many meters start can S give T in a 500 m race, so that the race match ends in a dead heat?

A

75 m

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B

25 m

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C

65 m

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D

50 m

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E

67.5 m

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Solution

## The correct option is D 50 m S can give T (10 min - 9 min) = 60 sec start. The distance covered by T in 10 min = 1000 m. Distance covered in 60 sec = 1000×60600 = 100 m. So, S can give T 100 m start in a 1 km race. ∴ S can give T 50 m start in a 500 m race.

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