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. 11 hrs 45 min
  • B. 3 hrs 45 min
  • C. 7 hrs 30 min
  • D. 7 hrs 45 min Ans: A. Sol.
    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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