A train travels from Station A to Station B covering 200 km and returns to Station A in 10 hours. The speed and the velocity of the train are _ and _, respectively.

20 km/hr, 20 km/hr

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40 km/hr, 0

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0, 40 km/hr

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40 km/hr, 40 km/hr

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Solution

The correct option is B 40 km/hr, 0
Speed is total distance covered per unit time whereas, velocity is total displacement covered per unit time. Total distance covered is 200 km + 200 km (back and forth) = 400 km, and total displacement is 0 since it is back to the same point and hence there is no change in position.
$S p e e d = \frac{T o t a l d i s t a n c e}{T o t a l t i m e t a k e n} = \frac{400 k m}{10 h o u r s} = 40 k m h^{- 1}$
$V e l o c i t y = \frac{N e t d i s p l a c e m e n t}{T o t a l t i m e t a k e n} = \frac{0}{10 h} = 0 k m h^{- 1}$

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A train travels from Station A to Station B covering 200 km and returns to Station A in 10 hours. The speed and the velocity of the train are _____ and _____, respectively.​

A train travels from Station A to Station B covering 200 km and returns to Station A in 10 hours. The speed and the velocity of the train are _ and _, respectively.