Time and Work

Time and Work

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Aptitude miscellaneous
  1. Rohan and Sunil separately can complete a work in 8 hours and 4 hours respectively. How much time will they take when working together ?








  1. View Hint View Answer Discuss in Forum

    Required time taken to complete the work by both together = x y / x + y
    (Here x = 8 and y = 4)

    Correct Option: A

    Required time taken to complete the work by both together = x y / x + y
    (Here x = 8 and y = 4)
    ∴ Required time = (8 x 4)/(8 + 4) = 32/12 = 22/3 hours

  1. A and B together can do a work in 8 days. If A alone can do it in 12 days, then in how many days can B alone do it ?








  1. View Hint View Answer Discuss in Forum

    Required time taken by B to complete the work = xy / x - y
    [Here x = 12 and y = 8]

    Correct Option: C

    Required time taken by B to complete the work = xy / x - y
    [Here x = 12 and y = 8]
    ⇒ required time = (12 x 8) / (12 - 8) = 96/4 = 24 days

  1. A can do a piece of work in 20 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in ?








  1. View Hint View Answer Discuss in Forum

    B's 9 day's work = 9 x (1/12) = 3/4
    Remaining work = (1 - 3/4) = 1/4

    Correct Option: B

    B's 9 day's work = 9 x (1/12) = 3/4
    Remaining work = (1 - 3/4) = 1/4
    1/4 work is done by A in = 20 x (1/4) = 5 days.

  1. A can do (1/3) of a work in 5 days and B can do (2/5) of the work in 10 days. In how many days both A and B together can do the work ?








  1. View Hint View Answer Discuss in Forum

    ∵ 1/3 of work is done by A in 5 days.
    ∴ Whole work will be done by A in 15 days.
    ∵ 2/3 of work is done by B in 10 days.
    Whole work will be done by B in 10 x (5/2) i.e., 25days

    Correct Option: C

    ∵ 1/3 of work is done by A in 5 days.
    ∴ Whole work will be done by A in 15 days.
    ∵ 2/3 of work is done by B in 10 days.
    Whole work will be done by B in 10 x (5/2) i.e., 25days

    ∴ (A + B)'s 1 day's work = (1/15 + 1/25) = 8/75
    So, both together can finish it in 75/8 days, i.e., 93/8days.

  1. A can do a piece of work in 30 days while B can do it in 40 days. In how many days can A and B working together do it ?








  1. View Hint View Answer Discuss in Forum

    (A + B)'s 1 day's work = (1/30 + 1/40) = 7/120

    Correct Option: D

    (A + B)'s 1 day's work = (1/30 + 1/40) = 7/120

    ∴ Time taken by both to finish the work = 120/7days = 171/7 days