A and B can finish a certain job in 28 and 35 days, respectively. They started working together, but A left after a while, and B managed to complete the remaining work in 17 days. How many days did A work before leaving?
8 days
Let A work for x days. In LCM(28, 35) = 140 units total work:
A's rate = 5 units/day, B's rate = 4 units/day.
Work done together: \(x(5+4) = 9x\) units.
B alone for 17 days: \(17 \times 4 = 68\) units.
Total: \(9x + 68 = 140 \Rightarrow 9x = 72 \Rightarrow x = \mathbf{8}\)
A worked for 8 days.
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