Question 1040482
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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?
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A does {{{1/12}}} of the work per day. It is his rate.
Working for 3 days, A makes {{{3/12}}} = {{{1/4}}} of the work.

B does {{{1/15}}} of the work per day. It is his rate.
Working for 5 days, B makes {{{5/15}}} = {{{1/3}}} of the work.


After A worked for 3 days and B worked for 5 days they made {{{1/4 + 1/3}}} = {{{3/12 + 4/12}}} = {{{7/12}}} of the work.
Now the remained part of the work is {{{1-7/12}}} = {{{5/12}}}.


C does {{{1/24}}} of the work per day. It is his rate.
C will complete the remaining {{{5/12}}} part of the work in {{{((5/12))/((1/24))}}} = {{{(5*24)/12}}} = 5*2 = 10 days.

<U>Answer</U>.  C will complete the remaining part of the work in 10 days.
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