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 2: 4 hours
Option 3: 7 hours
Option 4: 8 hours
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Correct Answer: 15 hours
Solution : The rate of A = $\frac{1}{6}$ returns per hour The rate of B = $\frac{1}{10}$ returns per hour The rate of A, B, and C together = $\frac{1}{3}$ returns per hour $\therefore$ The rate of C = $\frac{1}{3} - \frac{1}{6} - \frac{1}{10}=\frac{10-(5+3)}{30}=\frac{2}{30}=\frac{1}{15}$ returns per hour $\therefore$ The time for C to file the return = $\frac{1}{\text{rate of C}}=\frac{1}{\frac{1}{15}}= 15$ hours Hence, the correct answer is 15 hours.
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Question : Pipes A and B together can fill a tank in 10 hours. Pipes B and C together can fill the same tank in 12 hours. Pipes A and C together can fill the same tank in 15 hours. In how many hours can pipe B alone fill the same tank?
Option 1: $\frac{120}{7}$ hours
Option 2: $15$ hours
Option 3: $\frac{120}{11}$ hours
Option 4: $\frac{155}{13}$ hours
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
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 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 : A, B, and C together can do a piece of work in 6 days. A and B together can do the same work in 12 days. B alone can do the same work in 18 days. In how many days can A and C together do the same work?
Option 1: 9 days
Option 2: 10.5 days
Option 3: 8 days
Option 4: 7.5 days
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