A and B can do a piece of work in 30 and 36 days respectively. T

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 Multiple Choice QuestionsMultiple Choice Questions

51.

A can do a certain work in 12 days. B is 60% more efficient than A. How many days will B and A together take to do the same job?

  • 80 over 13
  • 70 over 13
  • 75 over 13
  • 75 over 13
742 Views

52.

A does one-fifth of a work in a week. B finishes the same in a fortnight. B starts the work and works only for 3 days. Thereafter A completes the job. He will finish it in

  • 10 days

  • 7 days

  • 12 days

  • 12 days

736 Views

53.

A can complete a piece of work in 12 days. B is 60% more efficient than A. The number of days, that B will take to complete the same work is

  • 6

  • 7 1 half
  • 8

  • 8

138 Views

54.

A and B together can complete a piece of work in 12 days and B and C together in 15 days. If A is twice as good a workman as C, then in how many days will B alone complete the same work?

  • 30

  • 25

  • 24

  • 24

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55.

4 men and 6 women together can complete a work in 8 days while 3 men and 7 women together can complete it in 10 days. 20 women working together will complete it in

  • 36 days

  • 32 days

  • 24 days

  • 24 days

139 Views

56.

A and B can do a given piece of work in 8 days, B and C can do the same work in 12 days and A, B, C complete it in 6 days. Number of days required to finish the work by A and C is

  • 16

  • 8

  • 12

  • 24

193 Views

57.

If 90 men can do a certain job in 16 days, working 12 hours per day, then the part of that work which can be completed by 70 men in 24 days, working 8 hours per day is

  • 1/3

  • 2/3

  • 7/9

  • 5/8

292 Views

58.

A, B and C can do a work separately in 16, 32 and 48 days respectively. They started the work together but B left off 8 days and C six days before the completion of the work. In what time is the work finished? 

  • 10 days

  • 9 days

  • 12 days

  • 12 days

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59.

A and B can do a piece of work in 30 and 36 days respectively. They began the work together but A left after some days and B finished the remaining work in 25 days. After how many days did A leave?

  • 10 days

  • 6 days

  • 5 days

  • 5 days


C.

5 days

Let A leave the work after x days.
rightwards double arrow space space space open parentheses fraction numerator straight A space does over denominator straight A space can end fraction space plus space fraction numerator straight B space does over denominator straight B space can end fraction close parentheses space equals space 1
Now according to the question
rightwards double arrow space space space space straight x over 30 space plus space fraction numerator straight x plus 25 over denominator 36 end fraction space equals space 1
rightwards double arrow space space space space fraction numerator 6 straight x space plus space 5 straight x space plus space 125 over denominator 180 end fraction space equals space 1
rightwards double arrow space space 11 straight x space plus space 125 space equals space 180
rightwards double arrow space space space 11 straight x space equals space 180 minus space 125 space equals space 55
rightwards double arrow space space space space 11 straight x space equals space 55
rightwards double arrow space space space space space straight x space equals space 55 over 11 equals space space 5 space days

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60.

P and Q together can do a job in 6 days. Q and R can finish the same job in 60 over 7 days. P started the work and worked for 3 days. Q and R continued for 6 days. Then the difference of days in which R and P can complete the job is

  • 15

  • 10

  • 8

  • 8

484 Views

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