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What is the average speed of a van which covers half the distance with a speed of 48km/h and the other half with a speed of 24 km/h?
Question

What is the average speed of a van which covers half the distance with a speed of 48km/h and the other half with a speed of 24 km/h?

A.

40 km/h

B.

38 km/h

C.

32 km/h

D.

33 km/h

Correct option is C

Given:

Speed for the first half of the journey = 48 km/h

Speed for the second half of the journey = 24 km/h

Formula Used:

Average Speed = 2×Speed1×Speed2Speed1+Speed2 \frac{2 \times \text{Speed1} \times \text{Speed2}}{\text{Speed1} + \text{Speed2}}​​

Solution:

Average Speed = 2×48×2448+24\frac{2 \times 48 \times 24}{48 + 24}​​

=2×48×2472 = \frac{2 \times 48 \times 24}{72}​​

=230472=32 km/h= \frac{2304}{72} = 32 \, \text{km/h}​​

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