# How Much Time will be Taken by him to Ride both ways on Cycle?

A village Patwari walks a certain distance and rides back on cycle in 5 hours and 23 minutes altogether. He could walk both ways in 6 hours 17 minutes. The time taken by him to ride both ways on cycle will be

- 3 hours 21 minutes
- 4 hours 30 minutes
- 4 hours 29 minutes
- 4 hours 10 minutes

Let the distance be x km. Then,

(Time taken to walk x km) + (Time taken to ride x km) = 5 hrs 23 min. [Given]

=> (Time taken to walk 2x km) + (Time taken to ride 2x km) = 10 hrs 46 min.

But, time taken to walk 2x km = 6 hrs 17 min. [Given]

Time taken to ride 2x km = (10 hrs 46 min – 5 hrs 23 min) = **4 hrs 29 min.**