Question : Sonu can do work in 15 days, Monu can do it in 10 days, and Tipu can do it in 12 days. In how many days can Sonu, Monu, and Tipu together complete the work?
Option 1: 8 days
Option 2: 10 days
Option 3: 4 days
Option 4: 5 days
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Correct Answer: 4 days
Solution : Sonu can do work in 15 days Monu can do it in 10 days Tipu can do it in 12 days Let the total work be considered as 120 units which is the multiple of 15, 10, and 12. Sonu can do ($\frac{120}{15}$) = 8 units of work in a day. Monu can do ($\frac{120}{10}$) = 12 units of work in a day. Tipu can do ($\frac{120}{12}$) = 10 units of work in a day. Hence, Sonu, Monu, and Tipu together can do (8 + 12 + 10) = 30 units of work in a day. $\therefore$ They can complete the total work of 120 units in ($\frac{120}{30}$) = 4 days. Hence, the correct answer is 4 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 2: 16 days
Option 3: 12 days
Option 4: 15 days
Question : P alone can do a piece of work in 24 days. Q alone can do it in 30 days and R alone can do it in 20 days. In how many days they can complete it together?
Option 1: 15 days
Option 2: 18 days
Option 3: 8 days
Option 4: 10 days
Question : X and Y together can do a work in 10 days. Y and Z together can do the same work in 15 days. Z and X together can do the same work in 12 days. In how many days can Z alone do the same work?
Option 1: 80 days
Option 2: 60 days
Option 3: 40 days
Option 4: 50 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 1: 120 days
Option 2: 32 days
Option 4: 60 days
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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