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  • Question
  • David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?


  • Options
  • A. 19
  • B. 28
  • C. 30
  • D. 37

  • Correct Answer
  • 30 

    Explanation
    Suppose their paths cross after x minutes.

    Then, 11 + 57x = 51 - 63x    ⟺    120x = 40

    x = 1
    3

    Number of floors covered by David in (1/3) min. = 1 x 57 = 19.
    3

    So, their paths cross at (11 +19) i.e., 30th floor.


  • More questions

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      The product of two consecutive odd numbers is 19043. Which is the smaller one?

    • Options
    • A. 137
    • B. 131
    • C. 133
    • D. 129
    • Discuss
    • 2. 
      The angle of elevation of the top of a hill from each of the vertices A, B, C of a horizontal triangle is ?. The height of the hill is :

    • Options
    • A. b tan ? cosec B
    • B. a tan ? cosec A 2
    • C. c tan ? cosec C 2
    • D. None of these
    • Discuss
    • 3. 
      From a point on a circular tract 5 Km long A, B and C started running in the same direction at the same time with speeds of 2 1? 2 Km/h, 3 Km/h and 2 Km/h. respectively. Then on the starting point all three will meet again after :

    • Options
    • A. 30 hours
    • B. 6 hours
    • C. 10 hours
    • D. 15 hours
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    • 4. 
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    • Options
    • A. 29.46 km/hr.
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    • C. 36.25 km/hr.
    • D. 32.72 km/hr.
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    • 5. 
      A library has two books each having three copies and three other books each having two copies. In how many ways can all these books be arranged in a shelf so that copies of the same book are not separated?

    • Options
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    • 6. 
      Find the LCM of 1/3, 2/9, 5/6 and 4/27.

    • Options
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    • Options
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    • Options
    • A. 2000
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    • 9. 
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    • Options
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    • Options
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