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A man goes to Chennai from Hyderabad at a speed of 24km/hr and returns to Hyderabad at speed of 40km/hr, through same route. What is his average speed
Question

A man goes to Chennai from Hyderabad at a speed of 24km/hr and returns to Hyderabad at speed of 40km/hr, through same route. What is his average speed (in km/hr) of the entire journey?

A.

27

B.

35

C.

31

D.

30

Correct option is D

Given:
Speed while going to Chennai = 24 km/h
Speed while returning to Hyderabad = 40 km/h
Formula Used:
Average Speed=2×Speed 1×Speed 2Speed 1+Speed 2\text{Average Speed} = \frac{2 \times \text{Speed 1} \times \text{Speed 2}}{\text{Speed 1} + \text{Speed 2}}​​
where,
Speed1 is the speed while going to Chennai,
Speed2 is the speed while returning to Hyderabad.
Solution:
Average Speed=2×24×4024+40 Average Speed=2×96064=192064=30 km/h\text{Average Speed} = \frac{2 \times 24 \times 40}{24+ 40} \\\ \\\text{Average Speed} = \frac{2 \times 960}{64} = \frac{1920}{64} = 30 \, \text{km/h}​​
Thus, the average speed of the entire journey is 30 km/h.

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