SOLUTION: A,B AND C COMPLETE A WORK IN 12, 15 AND 24 DAYS RESPECTIVELY. A DOES THE WORK FOR 3 DAYS AND LEAVE IT, AFTER THAT B DOES THE WORK FOR 5 DAYS AND HE ALSO LEAVE IT. THEN IN HOWMANY D

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A,B AND C COMPLETE A WORK IN 12, 15 AND 24 DAYS RESPECTIVELY. A DOES THE WORK FOR 3 DAYS AND LEAVE IT, AFTER THAT B DOES THE WORK FOR 5 DAYS AND HE ALSO LEAVE IT. THEN IN HOWMANY D      Log On


   



Question 1040482: A,B AND C COMPLETE A WORK IN 12, 15 AND 24 DAYS RESPECTIVELY. A DOES THE WORK FOR 3 DAYS AND LEAVE IT, AFTER THAT B DOES THE WORK FOR 5 DAYS AND HE ALSO LEAVE IT. THEN IN HOWMANY DAYS DOES THE C CAN COMPLETE THAT REMAINING WORK?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
A,B AND C CAN COMPLETE A WORK IN 12,15 AND 24 DAYS RESPECTIVELY.A DOES THE WORK FOR 3 DAYS AND LEAVE,AFTER THAT B DOES THE WORK FOR 15 DAYS AND HE ALSO LEAVE IT.THEN IN HOWMANY DAYS DOES THE C COMPLETE THAT REMAINING WORK?

A, B, and C can do a JOB in 12, 15, and 24 days, respectively. A does some of a job for 3 days and leaves. After that, B does some of the job for 15 days and he also leaves. In how many days does C perform the rest of this job to complete it?

RT=J is a basic work rates rule relating rate, time, and amount of jobs or job. You usually want to use work rate in the dimensional unit JOB%2FTIME. Your specific unit would be JOB%2FDAY.


Let t be the unknown number of days for C to finish the ONE JOB.

highlight_green%28%281%2F12%29%2A3%2B%281%2F15%29%2A15%2B%281%2F24%29%2At=1%29
Solve for t.

Answer by ikleyn(52848) About Me  (Show Source):
You can put this solution on YOUR website!
.
A,B AND C COMPLETE A WORK IN 12, 15 AND 24 DAYS RESPECTIVELY. A DOES THE WORK FOR 3 DAYS AND LEAVE IT, AFTER THAT B DOES THE WORK FOR 5 DAYS AND HE ALSO LEAVE IT. THEN IN HOW MANY DAYS DOES THE C CAN COMPLETE THAT REMAINING WORK?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

A does 1%2F12 of the work per day. It is his rate.
Working for 3 days, A makes 3%2F12 = 1%2F4 of the work.

B does 1%2F15 of the work per day. It is his rate.
Working for 5 days, B makes 5%2F15 = 1%2F3 of the work.


After A worked for 3 days and B worked for 5 days they made 1%2F4+%2B+1%2F3 = 3%2F12+%2B+4%2F12 = 7%2F12 of the work.
Now the remained part of the work is 1-7%2F12 = 5%2F12.


C does 1%2F24 of the work per day. It is his rate.
C will complete the remaining 5%2F12 part of the work in %28%285%2F12%29%29%2F%28%281%2F24%29%29 = %285%2A24%29%2F12 = 5*2 = 10 days.

Answer.  C will complete the remaining part of the work in 10 days.