A man takes 5 hours 45 min. in walking to a certain place and riding back. He would have gained 2 ho

A. 7 hours 45 minutes

B. 7 hours

C. 7 hours 30 minutes

D. 7 hours 50 minutes

E. None of the above

Answer: A. 7 hours 45 minutes

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)h

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.

Posted in: Time, Distance and Speed - Aptitude - Mathematics