I walk a certain distance and ride back taking a total time of 37 minutes I could walk both ways in ...........

Quant (SSC) Time & distance

I walk a certain distance and ride back taking a total time of 37 minutes. I could walk both ways in 55 minutes. How long would it take me to ride both ways?

5 min

10 min

13 min

19 min

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Explanation:

Let the distance be x, then,
(Time taken to walk x km) + (Time taken to ride x km) = 37min.
⇒ (Time taken to walk 2x km) + (Time taken to ride 2x km) = 74 min.
But, time taken to walk 2x km = 55 min.
So, Time to ride 2x km = (74 - 55) min ⇒ 19 min.