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Aptitude - Aptitude-Time And Works

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A can do a certain job in 12 days. B is 60% more efficient than A. The number of days, it takes B to do the same piece of work, is ?

  • a
  • b
  • c
  • d
  • OOPS, your answer is incorrect

    Ratio of times taken by A and B = 160:100 = 8:5
    8 : 5 :: 12 : x or 8x = 5*12 or x = 7 and half days.

A does half as much work as B in three-fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do it ?

  • a
  • b
  • c
  • d
  • OOPS, your answer is incorrect

    Suppose B takes x dáys to do the work.
    A takes (2*(3/4)*x) = 3x/2 days to do it.
    (A+B)s 1 days work= 1/18
    1/x + 2/3x = 1/18 or x = 30.

A and B can do a piece of work in 72 days, B and C can do it in 120 days. A and C can do it in 90 days. In what time can A alone do it?

  • a
  • b
  • c
  • d
  • OOPS, your answer is incorrect

    (A+B)s 1 days work = 1/72,
    (B+C)s 1 days work = 1/120,
    (A+C)s 1 days work= 1/90.
    Adding 2(A+B+C)s 1 days work [(1/72) + (1/120) + (1/90)] = 12/360 = 1/30
    (A+B+c)s 1 day’s work = 1/60.
    As 1 days work = (1/60) - (1/120) = 1/120
    A alone can fini the work in 120 days.

A can do a piece of work in 80 days. He works at it for 10 days and then B alone finishes the remaining work in 42 days. The two together could complete the work in ?

  • a
  • b
  • c
  • d
  • OOPS, your answer is incorrect

    Work done by A in 10 days = (1/80) * 10 = 1/8
    Remaining work=(1 — (1/8)) = 7/8
    Now, 7/8 work is done by B in 42 days
    Whole work will be done by B in 42 * (8/7) = 48 days.
    As 1 days work = 1/80 and Bs 1 days work = 1/48
    (A + B)’s 1 days work = [(1/80) + (1/48)] = 8/240 = 1/30
    so, both will finish the work in 30 days.

Ram can do a piece of work in 8 days which Shyam can finish in 12 days. If they work at it on alternate days with Ram beginning, in how many days, the work will be finished ?

  • a
  • b
  • c
  • d
  • OOPS, your answer is incorrect

    (Ram + Shyam)s 2 days work = (1/8) + (1/12) = 5/24
    Their 8 days work = (5/24) * 4 = 5/6
    Their 8 days work = (5/6) + (1/8) = 23/24
    Remaining work = (1 - (23/24))
    Now it is Shyam’S turn.
    1/12 work is done by him in 1 day.
    1/24 work is done by him in (12 * (1/24)) = 1/2 day.
    Total time taken = 9 and half days.

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