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  • Question
  • A and B start from the same point and travel in the same direction round a circular track 3 km in circumference. If their speed be 200 and 150 metres a minute, when will they first together again at the starting point?


  • Options
  • A. 40 min
  • B. 55 min
  • C. 1 hour
  • D. 45 min

  • Correct Answer
  • 1 hour 

    Explanation

    Time taken by A in one round = 3000 / 200 = 15 min.
    Time taken by B in one round = 3000 / 150 = 20 min
    L.C.M. of 15 min and 20 min = 60 min = 1 hr.
    Hence, they will meet first together at the starting point after 1 hour.

    2nd Method to solve this
    Let us assume after T minutes both A and B will meet first time together at starting points.
    According to question,
    Distance covered by A in T minutes = 200 x T = 200T
    Distance covered by B in T minutes = 150 x T = 150T
    200T - 150T = 3000 As we know (3 KM = 3000 meters)
    ? 50T = 3000
    ? 5T = 300
    ? T = 300/5 = 60 Minutes.
    As we know ( 60 minutes = 1 hours)
    ? T = 1 Hours


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    • 2. 
      The value of 47 / 10000 is?

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    • 3. If 4x = 18y, then the value of ( x/y - 1) is

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    • 5. 
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      If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?

    • Options
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