A man takes 5 hours 45 min. in walking to a certain place and riding back. He would have gained 2 hours by riding both ways. The time he would take to walk both ways is :

- A.
**11***hrs*45*min* - B.
**3***hrs*45*min* - C.
**7***hrs*30*min* - D.
**7***hrs*45*min***Ans**: A.**Sol.**

Let the distance be*x*km. Then,

(time taken to walk*x*km) + (Time taken to ride*x*km) = 23/4 hrs.

**⇔**(Time taken to walk 2*x km*) + (Tie taken to ride 2*x km*) = 23/2 hrs.

But, time taken to ride 2*x km*= 15/4 hrs. ∴ Time taken to walk 2*x km*[23/2 – 15/4] hrs = 31/4 hrs = 7 hrs 45 min.

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