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Time & Work Test - 1

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Time & Work Test - 1
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  • Question 1
    1 / -0.25

    A can do a piece of work in 25 days and B can finish it in 20 days. They work together for 5 days and then A goes away. In how many days will B finish the work?

    Solution

     

  • Question 2
    1 / -0.25

    A can do a piece of work 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:

    Solution

    A's 10 days' work = 10/25 = 2/5

    Remaining work = 1-2/5 = 3/5

    (A + B)'s 1 day's work = 1/25 + 1/20 = 9/100

    So, (A + B) complete 3/5 of the work in

     

  • Question 3
    1 / -0.25

    A can do a piece of work in 40 days. He worked at it for 5 days and B finished the remaining work in 21 days. In how many days can A and B together finish the work?

    Solution

    A's 5 days' work=5/40 = 1/8

    Remaining work = 1-1/8= 7/8

    B can do a piece of work in

    = 24 days

    i.e., A = 1/40, B = 1/24

    So, (A + B) can complete the work in

     

  • Question 4
    1 / -0.25

    A is thrice as good a workman as B. Together they can do a job in 15 days. In how many days B will finish it alone?

    Solution

    A = 3 B
    So (A + B)'s 1 day's work = 1/15
    4B's 1 day's work = 1/15
    B's 1 day work = 1/15 x 4 = 1/60
    So, B alone will complete the work in 60 days.

     

  • Question 5
    1 / -0.25

    A can do a work in 8 days and B in 6 days. A and B can do the work on alternate days. If A begins the work, then the work can be finished in how many days?

    Solution

     

  • Question 6
    1 / -0.25

    A can do a piece of work in 6 days and B alone can do it in 8 days. A and B undertook to do it for ₹320 and with the help of C they finished it in 3 days. How much is paid to C?

    Solution

     

  • Question 7
    1 / -0.25

    A, B, C are employed to do a piece of work for 529. A and B together are supposed to do 19/23 of the work, what should C be paid?

    Solution

    Trick: C's share = 529 x (1 - 19/23)

    = 529 x 4/23 = 92

     

  • Question 8
    1 / -0.25

    Eight children and 12 men complete a certain piece of work in 9 days. Each child takes twice the time taken by a man to finish the work. In how many days will 12 men finish the same work?

    Solution

    Trick: 2 children = 1 man

    So, (8 children + 12 men) = 16 men

    So, 12 men will complete the same work in

     

  • Question 9
    1 / -0.25

    A cistern can be filled by pipes A and B in 12 minutes and 16 minutes respectively. When full, the tank can be emptied by a third pipe C in 8 minutes only. If all the taps be turned on at the same time, the cistern will be full in :

    Solution

    hence, cistern will full in 48 min.

     

  • Question 10
    1 / -0.25

    If 30 men working 7 hours a day can do a piece of work in 18 days, in how many days will 21 men working 8 hours a day do the same piece of work?

    Solution

     

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