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What is the average speed of a bus which covers half the distance at a speed of 72 km/hr and the other half at a speed of 90 km/hr?
Question

What is the average speed of a bus which covers half the distance at a speed of 72 km/hr and the other half at a speed of 90 km/hr?

A.

83 km/hr

B.

77 km/hr

C.

84 km/hr

D.

80 km/hr

Correct option is D

Given:
Speed for first half distance (v1v_1​) = 72 km/hr
Speed for second half distance (v2v_2​) = 90 km/hr
Formula Used:
Average Speed = 2×v1×v2v1+v2\frac{2 × v_1 × v_2}{v_1 + v_2}​​
Solution:
Average Speed =  2×72×9072+90\frac{2 × 72 × 90}{72 + 90}​​

Average Speed = 12960162\frac{12960}{162}

Average Speed = 80
Final Answer
So the correct answer is (d)

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