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Question

A van covers 30km with a uniform speed of 60 km/h and the next 30km with a uniform speed of 40km/h. Find the total time taken and the average speed.


A

75 minutes, 48 km/h

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B

60 minutes, 30 km/h

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C

75 minutes, 35 km/h

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D

70 minutes, 20 km/h

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Solution

The correct option is A

75 minutes, 48 km/h


Time taken for first part of journey, t1 = Distance/ Speed = 30 / 60 = 0.5 h

Time taken for second part of journey, t2 = Distance/ Speed = 30 / 40 = 0.75 h

Total time, T = 0.5 h + 0.75 h = 1.25 h = 1.25 × 60 mins = 75 mins

Average speed = Total DistanceTotal Time = (30 km + 30 km) / (1.25 h) = 48 km/h


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