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 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] 3 hrs 45 min
[B] 7 hrs 30 min
[C] 7 hrs 45 min
[D] 11 hrs 45 min


ANS: C


Explanation:
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 2x km) + (Time taken to ride 2x km) =(23/2)hrs
But, time taken to ride 2x km = (15/4) hrs
Time taken to walk 2x km =[(23/2) - (15/4)] hrs = (31/4) hrs = 7 hrs 45 min.