Patrick works for 4 days and leaves the job. In how many days can Patrick finish the whole job?
(i) Dodi finishes the remainder of the job in 8 days
(ii) Patrick and Dodi together can finish the work in 6 and 2/3 days
Patrick and Dodi
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I feel the answer should be E.
As from all the facts given we cannot deduce partick and dodi's rate of doing work (work done per day)
If we had information like patrick did 20% of work and rest by dodi, we would have been able to find the answer.
Any comments..?
As from all the facts given we cannot deduce partick and dodi's rate of doing work (work done per day)
If we had information like patrick did 20% of work and rest by dodi, we would have been able to find the answer.
Any comments..?
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How about this...
Let k be the fraction of work Patrick finishes before he leaves the job.
Therefore, patrick does k (fraction) of the job in 4 days
So patrick will do the whole job in 4/k days.
From 1)
Dodi finishes 1-k job in 8 days, so Dodi will finish the whole job in 8/(1-k) days
From 1, nothing is clear.
From 2)
1/P+1/D= 3/20
we know P=4/k but we dont know D
so not sufficient.
Now if u combine 1 and 2,
P=4/k, D=8/(1-k)
so k/4+(1-k)/8=3/20
therefore, k=1/5
hence we know Patrick can finish the job in 20 days.
Hence the answer is C.
Let k be the fraction of work Patrick finishes before he leaves the job.
Therefore, patrick does k (fraction) of the job in 4 days
So patrick will do the whole job in 4/k days.
From 1)
Dodi finishes 1-k job in 8 days, so Dodi will finish the whole job in 8/(1-k) days
From 1, nothing is clear.
From 2)
1/P+1/D= 3/20
we know P=4/k but we dont know D
so not sufficient.
Now if u combine 1 and 2,
P=4/k, D=8/(1-k)
so k/4+(1-k)/8=3/20
therefore, k=1/5
hence we know Patrick can finish the job in 20 days.
Hence the answer is C.