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Quantitative Aptitude

Ratio & Proportion

The ratio bet...

Question

The ratio between speeds of the S and T is 3:5, and therefore S takes 9 minutes more than the time taken by T to reach the destination. If S had walked at double the speed, in what time would he have covered the distance?

9 min 45 sec

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10 min 45 sec

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12 min 15 sec

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15 min 30 sec

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11 min 15 sec

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Solution

The correct option is E
11 min 15 sec

Ratio of speeds of S and T = 3:5

$∴$ Ratio of time = 5:3

S takes 9 min more.

5x - 3x = 9 min $\Rightarrow$ x = 4.5 min

S's time = 5 $\times$ 4.5 = 22.5 min

S covers the distance in 22.5 min, if its speed is `5x'

If his speed is doubled i.e. 10x, then he will cover the distance in 11.25 min

=> 11.25 min = 11 min 15 sec

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