Minister of Railways, Shri DineshTrivedi travels from Bangalore to Delhi at 50

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Question

Minister of Railways, Shri DineshTrivedi travels from Bangalore to Delhi at 50 km/hr and returns at 100 km/hr. What was his average speed?

Options:

A . 60

B . 75

C . 66.67

D . Can’t be determined

Answer: Option C
:
C

Average Speed $= \frac{2 \times 50 \times 100}{50 + 100} = \frac{10, 000}{150} = 66.67$ . Distance is kept constant, hence Speed and Time are inversely proportional, hence, we can use Harmonic Mean. $H . M = (\frac{2 a b}{a + b})$ Option(c).

Alternative, Average speed= total distance / total time= 66.67. Option (c).

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