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Home Aptitude Time and Distance See What Others Are Saying!
  • Question
  • A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 840 km ?


  • Options
  • A. 39 days
  • B. 37 days
  • C. 35 days
  • D. 33 days

  • Correct Answer
  • 35 days 

    Explanation

    Distance d = 1200km
    let S be the speed

    he walks 15 hours a day(i.e 24 - 9)
    so totally he walks for 70 x 15 = 1050hrs.

    S = 1200/1050 => 120/105 = 24/21 => 8/7kmph


    given 1 1/2 of previous speed
    so 3/2 * 8/7= 24/14 = 12/7

    New speed = 12/7kmph

    Now he rests 10 hrs a day that means he walks 14 hrs a day.

    time = 840 x 7 /12 => 490 hrs
    => 490/14 = 35 days

    So he will take 35 days to cover 840 km.

  • Tags: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO

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