Once you attempt the question then PrepInsta explanation will be displayed.

Solution: Let the distance be x km

Travelling at 10 kmph, Arun will reach point A at 2 pm.

Travelling at 15 kmph, Arun will reach point A 12 noon.

Therefore, time taken when travelling at 10 km - time taken when travelling at 15 km =2 hours

\frac{x}{10}_{x}{15}=2

=> 3x-2x=2 \times 30

=> x=60

Time needed if travelled at 10 kmph = \frac{60}{10}=6 hours

Therefore, to reach 1 pm, his travelling time must be (6−1)=5 hours.

Hence, required speed = \frac{60}{5}=12 kmph

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