Question : A village canal can be cleaned by 24 villagers in 12 days. The number of days in which 36 villagers can clean the canal is:
Option 1: 18
Option 2: 8
Option 3: 72
Option 4: 16
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Correct Answer: 8
Solution : Let the work be $x$ and the same for both cases. By using the formula: $\frac{M_1×T_1}{W_1}=\frac{M_2×T_2}{W_2}$ Where $M_1$ and $M_2$ are men, $D_1$ and $D_2$ are days and $W_1$ and $W_2$ are work done. According to the question, $\frac{24×12}{x}=\frac{36×T_2}{x}$ ⇒ $T_2=\frac{24×12}{36}$ ⇒ $T_2=8$ days Hence, the correct answer is 8.
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Question : Find the least number exactly divisible by 9, 24, and 36.
Option 1: 72
Option 2: 36
Option 3: 24
Option 4: 9
Question : A and B can do a piece of work in 18 days, B and C in 24 days and A and C in 36 days. Working together, they can do the work in:
Option 1: 12 days
Option 2: 13 days
Option 3: 16 days
Option 4: 26 days
Question : A person can do a piece of work in 18 days. He worked at it for 12 days and B finished the remaining work in 8 days. B alone can do the whole work in:
Option 1: 16 days
Option 2: 24 days
Option 3: 28 days
Option 4: 29 days
Question : A and B together can do a piece of work in 36 days and B and C together can do it in 24 days. A and C together can do it in 18 days. The three working together can finish the work in:
Option 1: 8 days
Option 2: 16 days
Option 3: 30 days
Option 4: 32 days
Question : A and B together can finish a job in 24 days, while A, B, and C together can finish the same job in 8 days. C alone will finish the job in:
Option 2: 14 days
Option 4: 24 days
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