A man can complete a work in 10 days. If he works for 3 days and then is joined by another man who can complete the same work in 15 days, how many more days will they take to finish the work?
Practice Questions
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A man can complete a work in 10 days. If he works for 3 days and then is joined by another man who can complete the same work in 15 days, how many more days will they take to finish the work?
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Work done by the first man in 3 days = 3/10. Remaining work = 1 - 3/10 = 7/10. Combined work rate = 1/10 + 1/15 = 1/6. Time to finish = (7/10) / (1/6) = 4.2 days.
Questions & Step-by-step Solutions
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Q: A man can complete a work in 10 days. If he works for 3 days and then is joined by another man who can complete the same work in 15 days, how many more days will they take to finish the work?
Solution: Work done by the first man in 3 days = 3/10. Remaining work = 1 - 3/10 = 7/10. Combined work rate = 1/10 + 1/15 = 1/6. Time to finish = (7/10) / (1/6) = 4.2 days.
