a and b together can finish a piece of work in 3 days b and c together can finish it in 4 days and c alone can finish it in 6 days. how long will a alone take to finish the work?
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a and b together will take 3 days to complete the work
b and c together will take 4 days to complete the work
c alone will take 6 days to complete the work
It can be written as
1/a + 1/b = 1/3 ----------------------------------------------(1)
1/b + 1/c = 1/4 ---------------------------------------------(2)
1/c = 1/6
Replace value of 1/c in equation (2)
1/b =1/4 - 1/6
So equation (1) becomes, 1/a + 1/4 - 1/6 = 1/3
1/a = 1/3 + 1/6 - 1/4
1/a =1/2 - 1/4
1/a = 1/4
So a alone takes 4 days to complete the work
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