Question
A and B can do a piece of work in 18 days, B and C in 24
days, A and C in 36 days. Working together they can do the work inSolution
ATQ, A and B together can do the work in 18 days, so their combined rate is (1/18) B and C together can do the work in 24 days, so their combined rate is (1/24) A and C together can do the work in 36 days, so their combined rate is (1/36) Adding these rates: This simplifies to:
So, A+B+C = (1/16) Thus, working together, A, B, and C can complete the work in 16 days.
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