SOLUTION: A can complite a task in 4 days,B can do the same in 5 days and C in 6 days.If they start working together and A becomes sick at second day and stopped working then how many days

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A can complite a task in 4 days,B can do the same in 5 days and C in 6 days.If they start working together and A becomes sick at second day and stopped working then how many days       Log On


   

Question 762348: A can complite a task in 4 days,B can do the same in 5 days and C in 6 days.If they start working together and A becomes sick at second day and stopped working then how many days B and C will required to complite the task??
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Your description is a little unclear, "at second day" when A quits. Assuming A quits AT THE END OF SECOND DAY, the situation goes like this:

Rates as tasks per day
A: 1/4
B: 1/5
C: 1/6

Amount of task completed by end of two days: %281%2F4%2B1%2F5%2B1%2F6%29%2A2
Amount of task for B and C to do: 1-%281%2F4%2B1%2F5%2B1%2F6%29%2A2

The task rate for B and C together is (1/5+1/6) tasks per day.
Using Rate*Time=Tasks, we can find the unknown number of days for B and C to finish the remaining amount of task.

highlight%28%281%2F5%2B1%2F6%29%2Ad=1-%281%2F4%2B1%2F5%2B1%2F6%29%2A2%29
That uses d = the number of days for B and C to do the remaining task portion.
(Leaving the rest of symbolic steps to solve for d, to you).