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Time and Work Test 17
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Time and Work Test 17
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  • Question 1/10
    1 / -0

     

     

    6 men and 5 boys can do a piece of work in 10 days while 20men and 45 boys can do the same in 2 days, how much time taken by 13 men and 25 boys in doing the same work ?

    Solutions

    Explanation :

    (6m+5b)10 = (20m+45b)2

    60m+50b = 40m + 90b

    20m = 40b

    1m = 2b

    6m+5b =12b+5b = 17b in 10 days

    13m+25b = 26b+25b = 51b in  ? days

    17:10 = 51 

    17*10/51 = ? = 3(1/3) days

     

  • Question 2/10
    1 / -0

    P and Q Working separately can do a piece of work in 6 days and 11 days, if they work alternately beginning with P then the work will be completed in how many days ?

    Solutions

    Explanation :

    Total work = 6*11 = 66

    2 days(P+Q) = 1/6 + 1/11 = (11+6)/66 = 17/66

    6 days(P+Q) = 51/66

    Remaining work = (1-(51/66)) = 15/66

    In 15, 6 done by P remaining done by Q (2 days)

    6+2 = 8 days

     

  • Question 3/10
    1 / -0

    3 men and 5 women do a piece of work in 9 days and 2 men 7 children do the same in 6 days. How many women can do as much work as 21 children ?

    Solutions

    Explanation :

    3m+5w = 9days…….(1)6m+10w = 18 days

    2m+7c = 6 days…….(2)6m+21c = 18 days

    21c = 10w

     

  • Question 4/10
    1 / -0

    If 12 persons can complete 3/5 of a work in 10 days, then find the number of persons required to complete the remaining work in 10days ?

    Solutions

    Explanation :

    12*10*(3/5) = m *10*(2/5)

    M = 72/4 = 18 men

     

  • Question 5/10
    1 / -0

    P can complete the work in 16 days. P and Q can complete the work in 12days. In how many days Q alone can complete the same work ?

    Solutions

    Explanation :1/12 – 1/16 = (16 – 12)/192 = 4/192 = 1/48

     

  • Question 6/10
    1 / -0

    A can complete a piece of work in 8 days and B can complete the work in 10 days and C in 12 days. B and C together worked for 3 days, then C left the work and A replaced him. In how many days will the remaining work be completed ?

    Solutions

    Explanation :

    (x-3)/8 + (x/10) + (3/12) = 1

    (5x-15+4x)/40 = 1-3/12 = 12-3/12 = 9/12 = ¾

    9x – 15 = 3*40/4 = 30

    X = 45/9 = 5 (3days completed )

    5 -3 = 2 days

     

  • Question 7/10
    1 / -0

    A can finish a piece of work in 24 days. B is 20% more efficient than A and C is 25% more efficient than B. Find the time B and C will take to finish the work?

    Solutions

    Explanation :

    A= 1/24

    B = 120/100(1/24) = 1/20

    C= 125/100(1/20) = 1/16

    B+C =(1/20) + (1/16) = 16+20/320 = 36/320 = 8.88 = 9 days

     

  • Question 8/10
    1 / -0

    Seven men can complete a work in 10 days. They started the work and after 5 days, two men left. In how many days will the work be completed by the remaining men ?

    Solutions

    Explanation :

    7 men 1 day’s work will be 1 / 10

    7 men 5 days work will be 5 / 10 = 1/2  remaining work will be (1- 1/ 2) = 1 / 2

    1 man 1 day work will be 1 / (10*7) = 1 / 70

    5 mens 1 day work will be 5 / 70

    (70/5)*( 1 / 2) =  7 days

     

  • Question 9/10
    1 / -0

    If 40 people can make 60 toys in 8 hrs, if 8 people leave the work, how many toys can make in 12 hrs ?

    Solutions

    Explanation :

    (40*8)/60 = (32*12)/x

    X = (32*12*60)/320 = 72 toys

     

  • Question 10/10
    1 / -0

    18 Women can complete a work in 10 days. 16 men complete the work in 12 days. The ratio of working capacity of man to that of a woman is ?

    Solutions

    Explanation :1/(16*12) : 1/(18*10) = 1/192 : 1/180 = 1/16 : 1/15 = 15:16

     

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