Question : A contractor undertook to finish a work in 92 days and employed 110 men. After 48 days, he found that he had already done $\frac{3}{5}$ part of the work, the number of men he can withdraw so that the work may still be finished in time is:
Option 1: 45
Option 2: 40
Option 3: 35
Option 4: 30
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Correct Answer: 30
Solution : Given: A contractor undertook to finish a work in 92 days and employed 110 men. After 48 days, he found that he had already done $\frac{3}{5}$ part of the work. We know, $\frac{M_{1}\times D_{1}}{W_{1}}=\frac{M_{2}\times D_{2}}{W_{2}}$ Where $M_1$ and $M_2$ are men, $D_1$ and $D_2$ are days and $W_1$ and $W_2$ are work done. Let $n$ number of men be withdrawn. So, $\frac{110 \times 48}{\frac{3}{5}} = \frac{(110-n) \times 44}{\frac{2}{5}}$ $⇒ 110 × 16 = (110-n) × 22$ $⇒160 = (110-n) × 2$ $⇒80 = 110-n$ $⇒n = 110 - 80$ $\therefore n = 30$ Hence, the correct answer is 30.
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Question : 24 women and 9 men can complete a certain piece of work in 18 days. Each woman takes twice the amount of time taken by a man to finish the work. In how many days can only 9 men finish the same work?
Option 1: 42
Option 2: 35
Option 3: 39
Option 4: 48
Question : A contractor has the target of completing a work in 40 days. He employed 20 persons who completed $\frac{1}{4}$th of the work in 10 days and left. The number of persons he has to employ to finish the remaining part as per the target is:
Option 1: 10
Option 2: 20
Option 3: 40
Question : Anil is 12.5% more efficient than Sachin. If Sachin alone can finish a work in 10 days, then in how many days will Anil alone finish the same work?
Option 1: $\frac{80}{7}$ days
Option 2: $\frac{70}{9}$ days
Option 3: $\frac{80}{9}$ days
Option 4: $\frac{70}{11}$ days
Question : Riya alone can complete a piece of work in 6 days while Siya alone can do the same work in 9 days. If they both work together, then how many days will be required to finish the work?
Option 1: $\frac{45}{13}$
Option 2: $\frac{18}{5}$
Option 3: $\frac{33}{17}$
Option 4: $\frac{55}{16}$
Question : A can do a work in 48 days. What part of the total work can be done by A in 18 days?
Option 1: $\frac{5}{6}$
Option 2: $\frac{3}{5}$
Option 3: $\frac{3}{8}$
Option 4: $\frac{4}{9}$
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