Foundation
Mathematics Foundation
Time Speed Distance
Question
A and B can do a job in 12 days; B and C can do it in 16 days. After A has worked for 5 days and B has worked for 7 days, C can finish the rest in 13 days. In how many days can C do the work alone?
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Solution
(A +B)’s one day work =
(B + C)’s one day work =
5A + 7B + 13C = 1
5A + 5B + 2B + 2C + 11C = 1
5(A +B) + 2(B +C) + 11C = 1
C alone can do the work in 24 days.
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