Question : A and B together can finish a work in 7.2 hours. If B alone can finish the same work in 18 hours, then A alone can do it in:
Option 1: 18 hours
Option 2: 12 hours
Option 3: 10 hours
Option 4: 15 hours
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Correct Answer: 12 hours
Solution : Hourly work of A and B = $\frac{1}{7.2}$ Hourly work of B = $\frac{1}{18}$ Hourly work of A = $\frac{1}{7.2}-\frac{1}{18}$ = $\frac{10-4}{72}$ = $\frac{6}{72}$ $\therefore$ A alone can complete the work in $\frac{72}{6}=12$ hours Hence, the correct answer is 12 hours.
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Question : X alone can finish a work in 18 days, and Y alone can finish the same work in 9 days. If X, Y, and Z together can finish the same work in 4 days, then in how many days Z alone can finish the work?
Option 1: 12 days
Option 2: 10 days
Option 3: 14 days
Option 4: 16 days
Question : P, Q, and R alone can complete a piece of work in 30 hours, 10 hours and 15 hours respectively. In how much time will they finish the work if they work together?
Option 1: 5 hours
Option 2: 4 hours
Option 3: 8 hours
Option 4: 10 hours
Question : A alone can do $\frac{1}{10}$th part of a work in 8 hours. B alone can do $\frac{1}{5}$th part of the same work in 4 hours. If they work together, then how many hours will they take to complete $\frac{9}{16}$th part of the same work?
Option 1: 9 hours
Option 2: 5 hours
Option 4: 4 hours
Question : Suresh alone can do work in 10 days working 1 hour a day. Balu alone can do the same work in 2 days working 5 hours a day. How many hours do they need to work together in a day to complete the same work in 10 days?
Option 1: 1.5 hours
Option 2: 0.5 hours
Option 3: 1 hour
Option 4: 2 hours
Question : A, B, and C are Accountants. A alone can file a return in 6 hours and B alone can file the same return in 10 hours. All three together can do it in 3 hours. In what time will C alone file the same return?
Option 1: 15 hours
Option 3: 7 hours
Option 4: 8 hours
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