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Quiz: Time & Work

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Number of Questions: 31

Question: 1 -

If 5 girls can embroider a dress in 9 days, then the number of days taken by 3 girls will be 

Options:

  1. 14 days

  2. 20 days

  3. 15 days

  4. 10 days

    5. Answer:

    15 days
    Solution:

    Let no. of days = N
    we know, 
    M1*D1=M2*D2
      5 * 9 =  3 * N 
    N = 5 × 9/3 
        = 15 days

Question: 2 -

 If 12 men can do a piece of work in 24 days, then in how many days can 18 men do the same work? 

Options:

  1. 20

  2. 16

  3. 36

  4. 18

    5. Answer:

    16
    Solution:

    Let no. of days = N
    1 work done = 12 × 24 
    Then, 12 × 24 = 18 × N days 
    N days = 12 × 24/18 = 16.

Question: 3 -

Mahesh and Umesh can complete a work in 10 days and 15 days respectively. Umesh starts the work and after 5 days Mahesh also joins him. In all the work would be completed in ?

Options:

  1. 7 days

  2. 9 days

  3. None of these

  4. 11 days

    5. Answer:

    9 days
    Solution:

    Umesh's 5 day's work = 5 x (1/15) = 1/3
    Remaining work = (1 - 1/3) = 2/3
    (1/10 + 1/15) work is done by both in 1 day
    ∴ 2/3 work is done by both in 6 x (2/3) = 4 days
    Hence, the work was completed in 4 + 5 = 9 days. 

Question: 4 -

If 8 men or 12 women can do a piece of work in 10 days, then the number of days required by 4 men and 4 women to finish the work is

Options:

  1. 8

  2. 12

  3. 14

  4. 10

    5. Answer:

    12
    Solution:

    Let no. of days = N
    8 men = 12 women 
    1 woman = 8/12 men = 2/3 men 
    4 women = 2/3 × 4 men = 8/3 men 
    4 men + 4 women = 4 + 8/3 men = 20/3 men 
    1 work done = 8 × 10 
    8 × 10 = 20/3 × Ndays 
    N days = 8 × 10 × 3/20 = 12 days.

Question: 5 -

A and B together can plough a field in 10 hours but by himself A requires 15 hours. How long would B take to plough the same field? 

Options:

  1. 10 hrs

  2. 20 hrs

  3. 30 hrs

  4. 40 hrs

    5. Answer:

    30 hrs
    Solution:

    If A and B together can do a piece of work in x days and A alone can do the same work in y days, 
    then B alone can do the same work in x y/ y – x days. 
    Therefore, 
    the No. of hours required by B = 10 × 15/ 15 – 10 
                                                     = 150/5 = 30 hours.