P, Q and R are three participants in a 10 km race. If P can give Q a start of 400 m and P can give R a start of 640 m, how may metres start can Q give R?

300 m

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500 m

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600 m

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750 m

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250 m

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Solution

The correct option is E
250 m

When P covers 10000 m, Q covers (10000 - 400) m = 9600 m and R covers (10000 - 640) m, or 9360 m

When Q covers 9600 m, R covers 9360 m

When Q covers 10000 m, R covers $(\frac{9360}{9600} \times 10000) m = 9750 m$

$∴$ Q can give R a start of (10000 - 9750) or 250 m

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P, Q and R are three participants in a 10 km race. If P can give Q a start of 400 m and P can give R a start of 640 m, how may metres start can Q give R?

The correct option is E 250 m When P covers 10000 m, Q covers (10000 - 400) m = 9600 m and R covers (10000 - 640) m, or 9360 m When Q covers 9600 m, R covers 9360 m When Q covers 10000 m, R covers (93609600×10000)m=9750m ∴ Q can give R a start of (10000 - 9750) or 250 m