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Sameer, travelling on his bicycle at a speed of 10 kmph, . reaches point X at 2 P .M. If he were to travel at 15 kmh, he would reach there at 12 noon. At what speed must be travel to reach X at 1 P.M.?

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14 kmph

11 kmph

12 kmph

8 kmph

answer is C.

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Detailed Solution

Distance $= \frac{10 \times 15}{15 - 10} \times 2 = 60 km$

Time taken when travel at $10 km / h = 10 = 6 hrs$ .

$∵$ Time taken to reach at point X at 1 P.M. = 6 - 1 = 5 hours. Hence, required speed $= \frac{60}{2} = 12 km / h$ .

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