Question

A man travels some distance at a speed of 12 km/hr and returns at a speed of 9 km/hr. If the total time taken by him is 4 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

Solution

Let the distance travelled by a man be D km According to the question, Total time taken = 2 hrs 40 min = 4(40/60) = 14/3 hours Total time = T1 + T2 D/12 + D/9 = 14/3 (3D + 4D)/36 = 14/3 7D/36 = 14/3 D = 24 km

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