Question

A man is travelling at a speed of 60 km/h such that he will take 80 minutes to reach his destination. But after completing half the journey, the man took a break of 15 minutes and then continued his journey. Find the speed at which the man must cover rest of the journey to reach his destination in original time.

A 86 km/h Correct Answer Incorrect Answer
B 76 km/h Correct Answer Incorrect Answer
C 96 km/h Correct Answer Incorrect Answer
D 106 km/h Correct Answer Incorrect Answer

Solution

Total distance to be covered = 60 × (80/60) = 80 km Time taken to cover half the distance at original speed = {(80 ÷ 2) ÷ 60} × 60 = 40 minutes Time remaining = 80 – 40 – 15 = 25 minutes Required speed = 40 ÷ 25 × 60 = 96 km/h

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