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

a) 1 km
b) 2 km
c) 3 km
d) 4 km

Answer: b
Explanation: Let the distance between school and home be x km.
The difference of time when A goes school to school with these two different speed is 10 min
$$\eqalign{ & = \frac{{10}}{{60}}\,{\text{hour}} \cr & {\frac{x}{3}} – {\frac{x}{4}} = \frac{{10}}{{60}} \cr & \frac{x}{{12}} = \frac{1}{6} \cr & x = \frac{{12}}{6} \cr & = 2\,{\text{km}} \cr} $$

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