Max completes his journey at an average speed of 9 km/h. He covers the first 9 km at a speed of 6 km/h and he takes 1·5 hours to cover the remaining distance. Find out the speed at which he covered the remaining distance.
(A) 11 km/h
(B) 12 km/h
(C) 13 km/h
(D) 15 km/h
Answer: (B)
Explanation: Let the required speed be x km/h.
Total time taken to finish his journey = (9/6 + 1·5) = 3 hours.
Total distance = 9 + 1·5x km.
Given, average speed = 9 km/h.
Therefore, (9 + 1·5x)/3 = 9
⇒ 9 + 1·5x = 27
⇒ 1·5x = 18
⇒ x = 12 km/h.
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