Question

george completed 3/5th of work in 9 days with the help of paul he completes remaining work in 4 days.In how many days paul alone can finish the work

Answer 1

plzzz any one help me

Answer 2

so the 1-3/5 =2/5 of the work was finished in 4 days
or in other words Paul and Geroge finished 2/5 of the wor
that is to say that Paul and Geroge together in 1 day can finish 2/(5*4) =1/10 of the work
again Geroge alone in 1 day can do 3/(5*9) =1/15 of the work

Answer 3

so in 1 day paul alone can do 1/10 -1/15 =(3-2)/30 =1/30
that means if Paul would complete the whole work in 30 days if working alone

Answer 4

in these types of question always try to find the work or part of work done in 1 day

Answer 5

if Paul would have been asked to complete the remaining 2/5 of the worked he would have taken 2/5 *30 =12 days (if working alone on the remaining portion of work)

Answer 6

thanku :)

Answer 7

welcome dear...

Answer 8

nicely done @matricked

Answer 9

@ranga
thank you

Answer 10

George did 3/5 of the job in 9 days
Had he continued working alone, George would completed the remaining 2/5 of the job in 6 days

So George could do the whole job in 15 days

Knowing this, we can figure out how fast George and Paul would have completed the entire job while working together.

Let
G = the time it takes George to do the whole job alone
P = the time it takes Paul to do the whole job alone
t = the time it takes them to complete the whole job together

Then the following formula can be applied:

\[\frac{GP}{G + P} = t\]

We know G = 15 so
\[\frac{15P}{15 + P} = t\]

Also, we know that for the given problem they only completed 2/5 of the job working together for 4 hours so
\[\frac{2}{5}\times \frac{15P}{15 + P} = 4\]

And
\[\frac{15P}{15 + P} = 10\]
So had they worked together the whole time, it would have taken them only 10 hours to do the job.

Now solving for P

15P = 10(15 + P)
15P = 150 + 10P
15P - 10P = 150
5P = 150
P = 150/5
P = 30

So it would take Paul 30 hours to do it alone.

Answer 11

@ranga
@matricked

Answer 12

@Hero We are all getting the same answers. My preference:

Fraction of Work # of Days In 1 Day Fraction of Work Done

George 3/5 9 1/15 (3/5 divided by 9)

George + Paul 2/5 4 1/10 (2/5 divided by 4)

Paul 1 x 1/x

Work done in 1 day by both = work done in one day by each. Therefore,

1/10 = 1/15 + 1/x
1/x = 1/10 - 1/15 = 5/150 = 1/30
x = 30

Answer 13

@ranga, I was just posting an alternative method. That is all.