A and B can separately do a piece of work in 20 and 15 days respe

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 Multiple Choice QuestionsMultiple Choice Questions

91.

A can do a work in 12 days. When he had worked for 3 days, B joined him. If they complete the work in 3 more days, in how many days can B alone finish the work?

  • 6 days

  • 12 days

  • 4 days

  • 8 days

40 Views

92.

X is 3 times as fast as Y and is able to complete the work in 40 days less than Y. Then, the time in which they can complete the work together is

  • 15 days

  • 10 days

  • 7 1 half space days

  • 5 days

43 Views

93.

A does half as much work as B in three-fourth of the time. If together they take 18 days to complete a work, how much time shall B take to do it alone?

  • 30 days

  • 35 days

  • 40 days

  • 45 days

39 Views

94.

A and B working separately can do a piece of work in 9 and 12 days respectively. If they work for a day alternately with A beginning, the work would be completed in

  • 10 2 over 3 space days

  • 10 1 half space days

  • 10 1 fourth space days

  • 10 1 third space days

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95.

A and B together can do a work in 10 days. B and C together can do the same work in 6 days. A and C together can do the work in 12 days. Then A, B and C together can do the work in

  • 28 days

  • 14 days

  • 5 5 over 7 space days

  • 8 2 over 7 space days

28 Views

96.

Two men A and B have started a job in which A was thrice as good as B and therefore took 60 days less than B to finish the job. How many days will they take to finish the job if they start working together?

  • 15

  • 20

  • 22 1 half

  • 25

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97.

A and B can separately do a piece of work in 20 and 15 days respectively. They worked together for 6 days after which B was replaced by C. The work as finished in next 4 days. The number of days in which C alone could do the work is

  • 30 days

  • 45 days

  • 40 days

  • 35 days


C.

40 days

Work done by A and B together in 6 days:
   equals space 6 open parentheses 1 over 20 space plus space 1 over 15 close parentheses space equals 6 space open parentheses fraction numerator 3 plus space 4 space over denominator 60 end fraction close parentheses space equals space 7 over 10
Remaining work:
                equals space open parentheses 1 minus 7 over 10 close parentheses space
equals space 3 over 10
Now, this remaining work open parentheses 3 over 10 close parentheses done by A and C in 4 days
∴    The whole work will be completed by A and C in:
                           equals space 4 space cross times space 10 over 3 space space equals space 40 over 3 space days
∴   Net work done by C in 1 day:
                      equals space open parentheses 3 over 40 space minus space 1 over 20 close parentheses space equals space open parentheses fraction numerator 3 minus 2 over denominator 40 end fraction close parentheses space equals space 1 over 40
∴ The no of days in which c alone could do the work is 40 days.
  



   

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98.

A and B together can complete a piece of work in 12 days. B and C can do it in 20 days and C and A can do it in 15 days. A, B and C together it in

  • 6 days

  • 8 days

  • 10 days

  • 12 days

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99.

A and B 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

  • 4 days

  • 6 days

  • 8 days

  • 10 days

30 Views

100.

A does 20% less work than B. If A can complete a piece of work in 7 1 half straight h comma then B can do it in 

  • 4h

  • 6h

  • 8h

  • 10h

33 Views

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