Question : A, B, and C together can complete a work in 5 days. A and B together can complete the same work in 6 days. C alone can finish the same work in how many days?
Option 1: 60 days
Option 2: 30 days
Option 3: 15 days
Option 4: 20 days
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Correct Answer: 30 days
Solution : 1 day's work of A, B and C = $\frac{1}{5}$ 1 day's work of A and B = $\frac{1}{6}$ 1 day's work of C = $\frac{1}{5}-\frac{1}{6}=\frac{6-5}{30}=\frac{1}{30}$ $\therefore$ C alone can complete the work in 30 days. Hence, the correct answer is 30 days.
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Question : A and B together complete a work in 20 days, B and C together complete the same work in 30 days, and C and A together complete the same work in 24 days. In how many days A, B, and C together can complete the same work?
Option 1: 8 days
Option 2: 16 days
Option 3: 12 days
Option 4: 15 days
Question : Kanti and Jiya together can finish a work in 3 days. If Jiya alone can finish the work in 6 days, then in how many days can Kanti alone finish the work?
Option 1: 4 days
Option 2: 6 days
Option 3: 10 days
Option 4: 8 days
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 : Rimmi and Simmi can together finish a work in 40 days. They worked together for 30 days and then Simmi left. After another 30 days, Rimmi finished the remaining work alone. In how many days Rimmi alone can finish the work?
Option 1: 120 days
Option 3: 80 days
Option 4: 40 days
Question : 5 men can complete a work in 12 days, and 6 women can complete the same work in 20 days. In how many days can 1 man and 1 woman together complete this work?
Option 2: 32 days
Option 3: 40 days
Option 4: 60 days
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