Question

A man travels some distance at a speed of 28 km/hr and returns at a speed of 21 km/hr. If the total time taken by him is 4 hrs 30 min, the distance is

A 20 km Correct Answer Incorrect Answer
B 32 km Correct Answer Incorrect Answer
C 54 km Correct Answer Incorrect Answer
D 24 km Correct Answer Incorrect Answer
E 16 km Correct Answer Incorrect Answer

Solution

Let the distance travelled by a man be D km According to the question, Total time taken = 4 hrs 30 min = 4(30/60) = 9/2 hours Total time = T1 + T2 D/28 + D/21 = 9/2 (3D + 4D)/84 = 9/2 7D/84 = 9/2 D = 54 km

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