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Find the average speed when the first half of a journey is done at a speed of 60 km/h and the second half ata speed of 40 km/h.
Question

Find the average speed when the first half of a journey is done at a speed of 60 km/h and the second half ata speed of 40 km/h.

A.

52 km/h

B.

45 km/h

C.

50 km/h

D.

48 km/h

Correct option is D

Given:
Speed for the first half of the journey = 60 km/h
Speed for the second half of the journey = 40 km/h
Formula Used:
The formula for the average speed when the distance is the same but speeds are different is:
Average speed=2×Speed1×Speed2Speed1+Speed2\text{Average speed} = \frac{2 \times \text{Speed}_1 \times \text{Speed}_2}{\text{Speed}_1 + \text{Speed}_2}​​
Solution:
 the speed for the first half of the journey be 60 km/h
the speed for the second half be 40 km/h.
Using the formula for average speed:
Average speed=2×60×4060+40 Average speed=2×2400100 Average speed=4800100=48km/h\text{Average speed} = \frac{2 \times 60 \times 40}{60 + 40} \\ \ \\\text{Average speed} = \frac{2 \times 2400}{100} \\ \ \\\text{Average speed} = \frac{4800}{100} = 48 \text{km/h}​​
Thus, the average speed for the entire journey is 48 km/h.

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