Question
If A can complete a job in 15 days and B can complete
the same job in 10 days, and they work together for 4 days before A leaves. How many more days will B take to finish the job alone?Solution
A's work rate = 1/15; B's work rate = 1/10. Combined work rate = 1/15 + 1/10 = (2 + 3) / 30 = 5/30 = 1/6. Work done in 4 days = 4 * (1/6) = 2/3. Remaining work = 1 - 2/3 = 1/3. B's time to finish remaining work = (1/3) / (1/10) = (1/3) * 10 = 10/3 = 3.33 days.
Statements:
D ≤ E > I; Q ≤ I ≤ W; F = W ≥ Y
Conclusions:
I. E > Q
II. F ≥ I
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