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Home Aptitude Problems on Trains See What Others Are Saying!
  • Question
  • A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train?


  • Options
  • A. 42 kmph
  • B. 43 kmph
  • C. 40 kmph
  • D. 45 kmph

  • Correct Answer
  • 40 kmph 

    Explanation

    We know that,  Speed = Distance/time

     

    Let the speed of the train be = x kmph

               NORMAL SPEED                           SPEED 5 KMPH MORE

              Distance = 360 Km                         Distance =360
     
              speed    =  X Kmph                        Speed = (x+5)
     
                Time =360/X                              Time =360/(x+15)
              

     

    For the same journey if the speed increased 10 kmph more it will take 1 hour less

     


    Time with original speed - time with increased speed = 1

     => (360/x) - (360/x+10) =  1                               

     =>  (360(x+5)-360x)/x(x+5) =1

     =>   360X + 1800 -360X  = X(X+5)

      =>   X^2 + 5x - 1800 = 0

      X = 40 or -45

     X cannot be negetive value
                      

     X = 40 kmph.

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

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