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Question


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 :


Options:
A .  11 hrs 45 min
B .  3 hrs 45 min
C .  7 hrs 30 min
D .  7 hrs 45 min
Answer: Option A

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) + (Tie 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.



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