A train travels with a speed of 60 kmph from station A to station B and then comes back with a speed of 80 kmph from station B to station A. Find the average speed of the train.

70 k m p h

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68.57 k m p h

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60 k m p h

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80 k m p h

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Solution

The correct option is B $68.57 k m p h$
Let the distance A and B be $x k m$

Speed while going $= 60 k m p h$

$∴$ time required to go $= \frac{x}{60} h r$

Speed while returning $= 80 k m p h$

$∴$ time required to return $= \frac{x}{80} h r .$

$∴$ total time required $= (\frac{x}{60} + \frac{x}{80}) h r = \frac{7 x}{240} h r .$

And, total distance travelled $= 2 x k m$

$∴ A v e r a g e v e l o c i t y = \frac{2 x}{\frac{7 x}{240}} k m p h = 68.57 k m p h$

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