Question : A's efficiency is twice that of B's. A can work only for 8 hours a day while B can work for 12 hours a day. If A can finish a task in 12 days, in how many days can B finish the same task?
Option 1: 8
Option 2: 10
Option 3: 16
Option 4: 12
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Correct Answer: 16
Solution : The ratio of the rates of work of A : B = 2 : 1 Work = efficiency × time Let the time B takes be $x$ days A's work = 2 × 12 × 8 B's work = 1 × 12 × $x$ The total work is the same. Thus, A's work = B's work ⇒ 2 × 12 × 8 = 1 × 12 × $x$ ⇒ $x$ = 16 days Hence, the correct answer is 16.
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Question : Working 5 hours a day, A can complete a task in 8 days, and working 6 hours a day, B can finish the same task in 10 days. Working 8 hours daily, they can jointly complete the task in _____.
Question : A can finish a work in 20 days and B can complete the same work in 15 days. B worked for 9 days and left the job. In how many days can A alone finish the remaining work?
Question : A can do a piece of work in 6 days, working 8 hours a day, while B can do the same work in 4 days, working 10 hours a day. If the work has to be completed in 5 days, how many hours do they need to work together in a day?
Question : 4 women or 6 boys can finish a work in the same number of days. A boy can finish it in 60 days. In how many days can 5 women finish the work, working together every day?
Question : 4 men’s work is equal to 6 women’s work and 4 women’s work is equal to 6 boy's work. A boy can finish the work in 60 days. In how many days can the work be finished by a man and a woman together?
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