Question

A man travels some distance at a speed of 16 km/hr and returns at a speed of 8 km/hr. If the total time taken by him is 3 hrs 45 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 = 3 hrs 45 min = 3(45/60) = 15/4 hours Total time = T1 + T2 D/16 + D/8 = 15/4 (2D + 4D)/32 = 15/4 6D/32 = 15/4 D = 20 km

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