Atul goes to the railway station by a cycle rickshaw and returns home by a cab in 34 minutes. If he can travel both ways by cycle rickshaw in 52 minutes, then how long will it take him to travel both ways by cab?

*R*and time taken by cab for one way is

*C*.

According to the parenthesis;

*R*+

*C*= 34.......(i)

and

*R*+

*R*= 52

$\Rightarrow $2

*R*= 52

So,

*R*= 26

Then from (i) we have;

*C*= 34 - R = 34 - 26 = 8

So, time taken by cab for one way is 8 minutes.

Then, time taken by cab to travel both ways = $8\times 2$ = 16 minutes

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