Walking $\frac{3}{4}$ of his normal speed, Ravi is $16$ minutes late in reaching his office. Then the usual time taken by him to cover the distance between his home and office is

48

minutes

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60

minutes

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42

minutes

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62

minutes

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Solution

The correct option is A $48$ minutes
Let usual time taken by Ravi $= x$ minutes
When speed goes down to $\frac{3}{4},$ time will go up to $\frac{4}{3}$ of the usual time.
Then, according to the question,
$\frac{4}{3} x = x + 16$
$\Rightarrow \frac{1}{3} x = 16$
$\Rightarrow x = 48$
Hence, usual time taken by Ravi is $48$ minutes.

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