A boy takes 5 hours 45 min to walk from home to school come back by auto. He would have gained 2 hours by taking auto both ways. How much time would he take, to walk both ways?
(A) 6 hrs 30 min
(B) 7 hrs 45 min
(C) 7 hrs 33 min
(D) 6 hrs 55 min
Explanation: Let the distance be x km.
(Time taken to walk x km) + (Time taken to come back by auto x km)
= 5 hour 45 = 23/4 hour —————–(1)
I both ways auto is taken time(for 2x km) = 5 hour 45 min – 2 = 15/4 hour ——(2)
(Time taken to walk 2x km)+ (Time taken to ride 2x km) = 23/2 hour => Time taken to walk 2x km=23/2−15/4
= 7 hours 45 minutes
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