SOLUTION: A can do a piece of work in 12 days while B can do the work in 18 days both began to the work together but a left after 4 days how many days will B take to finish the remaining job
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Question 1127012: A can do a piece of work in 12 days while B can do the work in 18 days both began to the work together but a left after 4 days how many days will B take to finish the remaining job ? Found 3 solutions by josmiceli, ikleyn, MathTherapy:Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! A's rate of working:
[ 1 job ] / [ 12 days ]
B's rate of working:
[ 1 job ] / [ 18 days ]
-------------------------
Let = fraction of job completed
with both working for 4 days:
Multiply both sides by
That means there is
of the job left to do
Let = time in days for B to finish:
It will take B 8 days to finish the job working alone
In 4 days A completed of the job; at the same time B completed = of the job,
so working together 4 days, our workers A and B completed = = of the job.
Hence, of the job remained to be done.
The rate of work for B is of the job per day.
Therefore, B needs = = 4*2 = 8 days to complete the remained job working alone. ANSWER
You can put this solution on YOUR website!
A can do a piece of work in 12 days while B can do the work in 18 days both began to the work together but a left after 4 days how many days will B take to finish the remaining job ?
