P takes 5 hours more than Q to complete a work. Working together

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 Multiple Choice QuestionsMultiple Choice Questions

1.

A can complete a piece of work in 2 days, and B in 3 days. With the help of C they together completed it in one day. C alone could complete the work in

  • 4 days

  • 5 days

  • 6 days

  • 6 days

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2.

Amar can complete 1 fourth of a work in 3 days and Shankar can complete 1 over 6 of the same work in 4 days. How much will Amar get if both work together and are paid Rs. 1,800 in all?

  • Rs. 600

  • Rs. 1000

  • Rs. 1080

  • Rs. 1080

125 Views

3.

30 workers can complete a job in 36 days. After 30 days, some more workers joined and the job was completed 2 days earlier. How many new workers joined?

  • 13

  • 15

  • 17

  • 17

217 Views

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4.

P takes 5 hours more than Q to complete a work. Working together they completed the work in 6 hours. Q alone could complete the work in

  • 8 hours

  • 10 hours

  • 12 hours

  • 12 hours


B.

10 hours

Let Q takes x hours to complete the work.
∴   P takes (x + 5) hours to complete the work.
Now, 
rightwards double arrow space space space space space space space 1 over straight x space plus space fraction numerator 1 over denominator straight x plus 5 end fraction space equals space 1 over 6 space
rightwards double arrow space space space space space space space fraction numerator straight x space plus space 5 space plus space straight x over denominator straight x thin space left parenthesis straight x plus 5 right parenthesis end fraction space equals space 1 over 6
rightwards double arrow space space space space space left parenthesis 2 straight x space plus space 5 right parenthesis space 6 space equals space straight x squared space plus space 5 straight x

rightwards double arrow space space space straight x squared space space plus space 5 straight x space equals space 12 straight x space plus space 30
rightwards double arrow space space space straight x squared minus 7 straight x minus 30 space equals space 0
rightwards double arrow space space space straight x squared minus 10 straight x plus 3 straight x minus 30 space equals space 0
rightwards double arrow space space space straight x left parenthesis straight x minus 10 right parenthesis plus 3 left parenthesis straight x minus 10 right parenthesis space equals space 0
rightwards double arrow space space space space space left parenthesis straight x space plus space 3 right parenthesis thin space left parenthesis straight x minus 10 right parenthesis space equals space 0
therefore space space space space straight x space equals space 10

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5.

A can complete a piece of work in 36 days, B in 54 days and C in 72 days. All the three began the work together but A left 8 days before the completion of the work and B, 12 days before the completion of the work. Only C worked upto the end. In how many days was the work completed?

  • 24

  • 25

  • 27

  • 27

223 Views

6.

A and B can do a piece of work in 15 days. B and C can do a similar work in 12 days and C and A in 10 days. How many days will A take to do the work by himself?

  • 13

  • 24

  • 40

  • 40

134 Views

7.

A and B can do a piece of work in 45 and 40 days respectively. They began the work together but A left after some days and B finished the remaining work in 23 days. A left after

  • 6 days

  • 9 days

  • 12 days

  • 12 days

109 Views

8.

2 men and 1 woman can complete a piece of work in 14 days while 4 women and 2 men can do the same work in 8 days. If a man gets Rs. 180 per day, then a woman will get per day

  • Rs. 150

  • Rs. 140

  • Rs. 120

  • Rs. 120

166 Views

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9.

A carpenter can build a cupboard in 60 hours. After 15 hours he takes a break. What fraction of the cupboard is yet to be built?

  • 0.5

  • 0.9

  • 0.75

  • 0.25


10.

A works twice as fast as B. If B can complete a piece of work independently in 12 days, then what will be the number of days taken by A and B together to finish the work? 

  • 4

  • 6

  • 8

  • 18

704 Views

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