Question

A man travels some distance at a speed of 15 km/hr and returns at a speed of 9 km/hr. If the total time taken by him is 2 hrs 40 min, the distance is

A 20 km Correct Answer Incorrect Answer
B 36 km Correct Answer Incorrect Answer
C 15 km Correct Answer Incorrect Answer
D 24 km Correct Answer Incorrect Answer
E 30 km Correct Answer Incorrect Answer

Solution

Let the distance travelled by a man be D km According to the question, Total time taken = 2 hrs 40 min = 2(40/60) = 8/3 hours Total time = T1 + T2 D/15 + D/9 = 8/3 (3D + 5D)/45 = 8/3 8D/45 = 8/3 D = 15 km

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