Question 86

If A 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, he reaches the school 5 minutes earlier than school time. The distance of his school from his house is

Solution

Let assume distance from house to school be x

When A travels at 3 km/hr he takes $$ \frac{x}{3} $$ hrs to reach school

When A travels at 4 km/hr he takes $$ \frac{x}{4} $$ hrs to reach school

$$ \frac{x}{3} - \frac{x}{4} = 10 $$

On solving x = 2 km

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