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Question

# A van covers the first 30 km in 30 min and the next 30 km in 40 min. Calculate the average speed for the entire journey.

A

51.4 km/h

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B

52.4 km/h

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C

55.5 km/h

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D

51.2 km/h

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Solution

## Step 1: Given Data:Time taken to cover first 30km, t1=30min=3060=12hr Time taken to cover next 30km, t2=40min=4060=23hr Step 2: Calculation of average speed:Total distance covered = 30 km + 30 km = 60 km Total time taken =12+23⟹3+46=76hr So, average speed = TotalDistanceTotaltimetaken=60km76hr TotalDistanceTotaltimetaken=60×67 TotalDistanceTotaltimetaken=51.4kmhr−1 Thus,The correct answer is option (a) 51.4kmhr−1

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