Q. A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, the distance between his house and school is:
Answer: 6 km
Notes: Let the required distance be x km. Then, $latex \frac{x}{3}+\frac{x}{2} = 5&s=1$ $latex => \frac{2x+3x}{6} = 5&s=1$ $latex => 5x = 6 \times 5$ $latex \therefore x = \frac{6\times 5}{5} = 6 km.&s=1$ Hence option [D] is the right answer.

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