Q50. A, B and C are three participants in a km race. If A can give B a start of 40 m and B can give C a start of 25 m, how many metres start can A give C?

(a) 46 m

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(b) 65 m

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(d) 64 m

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Solution

The correct option is D
(d) 64 m

A is 1^st, B is 2^nd and C is 3^rd

(Since B can give C a start)

$U s e, (L - X_{12}) X_{23} = L (X_{13} - X_{12})$

Where L = 1,000.

$X_{12} = 50$ (distance by which Ist beats IInd)

$X_{23} = ?$ (distance by which IInd beats IIIrd)

$X_{13} = 69$ (distance by which Ist beats IIIrd)

Now, (1,000 – 50) $X_{23} = 1000$ (69-50)

$X_{23} = 20 m$

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