Question : P and Q can do a project in 12 and 12 days respectively. In how many days can they complete 50% of the project if they work together?
Option 1: 6
Option 2: 3
Option 3: 18
Option 4: 1.5
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Correct Answer: 3
Solution : Time taken by P to complete a project = 12 days Time taken by Q to complete a project = 12 days Work done by P in one day = $\frac{1}{12}$ Work done by Q in one day = $\frac{1}{12}$ Work done by P and Q in one day = $\frac{1}{12}$+$\frac{1}{12}$ = $\frac{1}{6}$ Time taken by P and Q to complete 50% of the project = $\frac{\frac{1}{2}}{\frac{1}{6}}$ = 3 days Hence, the correct answer is 3.
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Question : A can complete a piece of work in 9 days. B and C can complete the same work in 12 days and 18 days respectively. If A, B, and C work together, then in how many days will they complete the work?
Option 1: 10 days
Option 2: 8 days
Option 3: 4 days
Option 4: 15 days
Question : P, Q, and R can complete a work alone in 12,15, and 20 days respectively. They started the work together. P left the work 8 days before the work was completed and Q left the work 5 days after P had left. R completed the remaining work alone. How many days will be required to complete the whole work?
Option 1: $\frac{32}{3}$ days
Option 2: $10$ days
Option 3: $\frac{28}{3}$ days
Option 4: $\frac{25}{3}$ days
Question : A and B together can complete a work in 20 days. B and C together can complete the same work in 15 days. If A, B, and C all work together, then the same work gets completed in 10 days. How many days will A and C together take to complete the same work?
Option 1: 8 days
Option 2: 10 days
Option 3: 15 days
Option 4: 12 days
Question : 40 men can complete a work in 18 days. Eight days after they started working together, 10 more men joined them. How many days will it now take to complete the remaining work?
Option 2: 8
Option 3: 10
Option 4: 12
Question : X, Y, and Z can complete a piece of work in 20, 12, and 28 days respectively. If all work together, the approximate number of days to complete the work will be:
Option 2: 7
Option 3: 4
Option 4: 5
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