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

Let the distance be `x` km. Then

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

`rArr `  (time taken to walk 2`x` km) + (Time taken o ride 2`x` km)  = `23/2` hrs.

But , ime 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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