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Time & Work Test 2
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Time & Work Test 2
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  • Question 1/10
    1 / -0

    A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is?

    Solutions

     

  • Question 2/10
    1 / -0

    If A can complete a work in 30 days and B can complete the same work in 20 days, then in how many days will A and B together complete the same work?

    Solutions

     

  • Question 3/10
    1 / -0

    A town with a population of 2000 has provisions for 30 days.  After 10 days, 500 more men are added. How long will the food last at the same rate?

    Solutions

     

  • Question 4/10
    1 / -0

    A is thrice as fast as B and is therefore able to finish a work in 60 days less than B. The time in which they can do it working together is:

    Solutions

    Let B finish the work in 3x days

    ∴ A will finish the work in x days

    Also 3x-x=60

    x=30 days.

    ∴ A's one day work =1/30

    B"s one day work=1/90

    (A+B)'s one day work=1/30+1/90=4/90

    ∴  Time taken to Finish the work

    while (A+B) working together = 90/4

    =45/2 days.

     

  • Question 5/10
    1 / -0

    A man digs a trench in 3 days, another man can dig it in 5 days and a third man can dig it in 6 days working alone. How much time will they take to dig it together?

    Solutions

     

  • Question 6/10
    1 / -0

    If four evaluators can examine a certain number of answer books in 8 days  by working 5 hours a day, then for how many hours a day would two evaluators have to work in order to examine twice the number of answer books in 20 days?

    Solutions

    Given,

    4 examiners can examine certain number of books in 8x5 = 40 hours

    Let 2 examiners examine the same order of answer books in 10 days by working x hours

    therefore,  4 examiners examine the same number of books in 5x hours

    therefore,  5x = 40 ⇒ x=8 hours.

     

  • Question 7/10
    1 / -0

    A and B together can complete a work in 3 days. They start together. But, after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in

    Solutions

     

  • Question 8/10
    1 / -0

    A & B can complete a piece of work in 12 days, B & C can complete it in 14 days and C & A can complete it in 18 days. In how many days will they complete it together?

    Solutions

     

  • Question 9/10
    1 / -0

    A man is twice as fast as a woman and a woman is twice as fast as a boy. If all of them i.e. a man, a woman and a boy can finish together in 4 days, in how many days a boy shall do it alone?

    Solutions

    1 man = 2 women = 4 boys

    1 man + 1 woman + 1 boy = 4 boys + 2 

    boys + 1 boy

    = 7 boys.

    Now 7 boys can do a job in 4 days.

    1 boy can do a job in  i.e. 28 days

     

  • Question 10/10
    1 / -0

    A mother is 3 times efficient than her daughter. If the daughter completes a piece of work in 15 days, how long will it take for both mother and daughter to complete the same work?

    Solutions

     

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