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Equivalent Ratios

If Ram travel...

Question

If Ram travels to his school from his house at the speed of $3$ km/hr, then he reaches the school $5$ minutes late. If he travels at the speed of $4$ km/hr, then he reaches the school $5$ minutes earlier than school time. The distance of his school from his house is

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Solution

The correct option is B $2$ km
Let the distance between school and house be $x$ km.
The difference of time $= 10$ minutes $= \frac{10}{60}$ hour
Now, $\frac{x}{3} - \frac{x}{4} = \frac{10}{60}$
$\Rightarrow \frac{x}{12} = \frac{1}{6}$
$\Rightarrow x = 2$
Hence, the distance of his school from his house is $2$ km.

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