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QUESTION
Q
George does 3/5th of a piece of work in 9 days. He then calls in Paul and they finish the work in 4 days. How long...

George does 3/5th of a piece of work in 9 days. He then calls in Paul and they finish the work in 4 days. How long would Paul take to do the work by himself ?

A

26

B

35

C

32

D

28

E

30

A

26

B

35

C

32

D

28

E

30

Solution

George does 3/5th of a piece of work in 9 days.Therefore work done by George in one day is = (3/5) × (1/9) = 1/15The work done by George in the...

George does 3/5th of a piece of work in 9 days.
Therefore work done by George in one day is = (3/5) × (1/9) = 1/15
The work done by George in the last 4 days is = 4 × (1/15) = 4/15
The remaining work is = 1 − (3/5) = 2/5
The work done by Paul in the 4 days = (2/5) − (4/15) = 2/15
Time taken by Paul to do the work by himself = (15/2) × 4 = 30 days

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Solution

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If A can complete a work in N days then A does 1/Nth work in one day.In one day if A does 1/Nth work then A completes...

If A can complete a work in N days then A does 1/Nth work in one day.
In one day if A does 1/Nth work then A completes the entire work in N days.

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