Time and Work


  1. you can do a piece of work in 8 days, B can do it in 16,While C can do it in 80 days. In how many days they can complete the whole work, working together?









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    Efficiency of A = 12.5%
    Efficiency of B = 6.25%
    Efficiency of C = 1.25%

    Efficiency of (A+ B + C) = (12.5 +6.25 + 1.25) = 20%

    Correct Option: A

    Efficiency of A = 12.5%
    Efficiency of B = 6.25%
    Efficiency of C = 1.25%

    Efficiency of (A+ B + C) = (12.5 +6.25 + 1.25) = 20%
    Required no of days = 100/20 = 5 days


  1. 12 men can complete a work within 9 days. After 3 days they started the work, 6 men joined them to replace 2 men. How many days will they take to complete the remaining work ?









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    12 men can complete 1/3 of the work in 3 days and the remaining 2/3 of the work in 6 days.
    1 man can complete 2/3 of the work in (12 x 6) = 72 days

    Correct Option: D

    12 men can complete 1/3 of the work in 3 days and the remaining 2/3 of the work in 6 days.
    1 man can complete 2/3 of the work in (12 x 6) = 72 days
    ∴ (12 - 2 + 6) = 16 men can complete 2/3 of thye work in 72/16 = 41/2 days



  1. A, B and C working in a garment manufacturing company can do the same assignment in 24, 6 and 12 days, respectively. Working together the assignment will be complete in how many days ?









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    (A + B + C)' S 1 day's work = (1/24) + (1/6) + (1/12) = 7/24

    Correct Option: A

    (A + B + C)' S 1 day's work = (1/24) + (1/6) + (1/12) = 7/24
    ∴ (A + B + C) can do the entire work in = 24/7
    = 33/7 days


  1. A can do a certain job in 25 days which B alone can do in 20 days. A started the work and was joined by B after 10 days. The work lasted for ?









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    A's 10 day's work = 10 x (1/25) = 2/5
    Remaining work = 1 - 2/5 = 3/5
    Work was done by (A + B) in 1 day = (1/25 + 1/20) = 9/100
    ∴ 3/5 work was done by (A + B) in (100/9 x 3/5) = 20/3 days

    Correct Option: D

    A's 10 day's work = 10 x (1/25) = 2/5
    Remaining work = 1 - 2/5 = 3/5
    Work was done by (A + B) in 1 day = (1/25 + 1/20) = 9/100
    ∴ 3/5 work was done by (A + B) in (100/9 x 3/5) = 20/3 days

    Hence, the work lasted for (10 + 62/3) = 162/3 days.



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









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    A's 10 day's work = (10 x 1/80) = 1/8
    Remaining work = (1 - 1/8) = 7/8
    ∵ 7/8 work is done by B in 42 days
    ⇒ Whole work will be done by B in (42 x 8/7) = i .e., 48 days.

    Correct Option: C

    A's 10 day's work = (10 x 1/80) = 1/8
    Remaining work = (1 - 1/8) = 7/8
    ∵ 7/8 work is done by B in 42 days
    ⇒ Whole work will be done by B in (42 x 8/7) = i .e., 48 days.
    ∴ (A + B)'s day's work = (1/80 + 1/48) = 8/240 = 1/30
    Hence, A and B together can finish it in 30 days.