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A bus travels from station P to station Q at a speed of 70 km/h, and from station Q to station P at a speed of 90 km/h. What is the average speed of t
Question

A bus travels from station P to station Q at a speed of 70 km/h, and from station Q to station P at a speed of 90 km/h. What is the average speed of the bus during the entire journey?

A.

75.78 km/h

B.

78.75 km/h

C.

80.25 km/h

D.

82.35 km/h

Correct option is B

Given:
Speed from station P to station Q: 70 km/h
Speed from station Q to station P: 90 km/h
Formula Used:
Average speed = 2xyx+y\frac{2xy}{x + y}​​
Solution:
Average speed = 2×70×9070+90=78.75 km/hr\frac{2 \times 70 \times 90}{70 + 90} = 78.75\, \text{km/hr}​ = 78.75 km/h

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