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Home Aptitude Time and Distance See What Others Are Saying!
  • Question
  • A train with 120 wagons crosses Arun who is going in the same direction, in 36 seconds. It travels for half an hour from the time it starts overtaking the Arun ( he is riding on the horse) before it starts overtaking the Sriram( who is also riding on his horse) coming from the opposite direction in 24 seconds. In how much time (in seconds) after the train has crossed the Sriram do the Arun meets to Sriram?


  • Options
  • A. 3560 sec
  • B. 3600 sec
  • C. 3576 sec
  • D. can't be determined

  • Correct Answer
  • 3576 sec 

    Explanation

    Let the length of the train be L metres and speeds of the train Arun and Sriram be R, A and S respectively, then 

            L R - A = 36  ---------- (i) 

    and  L R + K = 24  ---------(ii)

     

    From eq.(i) and (ii)

                  3(R - A ) = 2 (R + K) 

    ?   R = 3A + 2K 

     

    In 30 minutes (i.e 1800 seconds), the train covers 1800R (distance) but the Arun also covers 1800 A (distance) in the same time. Therefore distance between Arun and Sriram, when the train has just crossed Sriram

                   = 1800 ( R - A) - 24 ( A + K)

     

     Time required =  1800 ( R - A ) - 24 ( A + K ) ( A + K )

     

    = (3600 - 24) = 3576 s                            


  • More questions

    • 1. 
      A man arranges to pay off a debt of ?3600 in 40 annual installments which form an Arithmetic Progression (A.P). When 30 of the installments are paid, he dies leaving one-third of the debt unpaid . Find the value of the first installment.

    • Options
    • A. 55
    • B. 53
    • C. 51
    • D. 49
    • Discuss
    • 2. A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?

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    • 3. 
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    • 4. 
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    • 5. 
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    • Options
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    • Options
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