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Home ‣ Aptitude ‣ Problems on Trains See What Others Are Saying!
  • Question

  • Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?


  • Options
  • A. 10.30
  • B. 10
  • C. 8.45
  • D. 9.30

  • Correct Answer
  • 10 

    Explanation

    Assume both trains meet after x hours after 7 am

    Distance covered by train starting from P in x hours = 20x km

    Distance covered by train starting from Q in (x-1) hours = 25(x-1)

    Total distance = 110

    => 20x + 25(x-1) = 110

    => 45x = 135

    => x= 3

    Means, they meet after 3 hours after 7 am, ie, they meet at 10 am

    • More questions

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      Shankara buys a watch for Rs. 1,950 in cash and sells it for Rs. 2,200 at a credit of 1 year. If the rate of interest is 10% per annum, he _____ :

    • Options
    • A. gains Rs. 55
    • B. gains Rs. 50
    • C. loses Rs. 30
    • D. gains Rs. 30
      • Discuss
    • 2. 
      ABCD is a rhombus with ? ABC = 56°, then ? ACD is equal to :

    • Options
    • A. 90°
    • B. 60°
    • C. 56°
    • D. 62°
      • Discuss
    • 3. 
      The shaded region represents

    • Options
    • A. y ? x
    • B. y ? ? x
    • C. y ? x
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      • Discuss
    • 4. 
      45 x? = 25% of 900

    • Options
    • A. 16.20
    • B. 4
    • C. 5
    • D. 500
      • Discuss
    • 5. 
      Rajan sold an articles for ? 6000 at a loss of 25%. Find the cost price.?

    • Options
    • A. ? 7500
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    • C. ? 8000
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      • Discuss
    • 6. 
      In which of the following cases, A = B?

    • Options
    • A. A = {12, 14, 16}, B = {16, 18, 20}
    • B. A = ?, b = {}
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    • D. A = {x: x is a day of the week beginning with S}, B = {Sunday}
      • Discuss
    • 7. 10, 25, 45, 54, 60, 75, 80

    • Options
    • A. 10
    • B. 45
    • C. 54
    • D. 75
      • Discuss
    • 8. 
      If two parallel lines are intersected by a transversal, then the bisectors of the two pairs of interior angles enclose a:

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    • A. Trapezium
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      • Discuss
    • 9. 
      ?. 6x 2 + 77x + 121 = 0
      ?. y 2 + 9y ? 22 = 0

    • Options
    • A. 1
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      • Discuss
    • 10. 
      The length of minute hand of a wall clock is 7 cms. The area swept by minute hand in 30 minutes is?

    • Options
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