Question : If 90 men can do a certain job in 16 days, working 12 hours per day, then the part of that work which can be completed by 70 men in 24 days, working 8 hours per day is:
Option 1: $\frac{1}{3}$
Option 2: $\frac{2}{3}$
Option 3: $\frac{7}{9}$
Option 4: $\frac{5}{8}$
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Correct Answer: $\frac{7}{9}$
Solution : According to the question: $\frac{M_1×D_1×T_1}{W_1}=\frac{M_2×D_2×T_2}{W_2}$ Where $M_1$ and $M_2$ are men, $D_1$ and $D_2$ are days and $W_1$ and $W_2$, are work done. $T_1$ and $T_2$ are hours per day. So, $\frac{90×16×12}{1}=\frac{70×24×8}{W_2}$ ⇒ $W_2=\frac{7}{9}$ Hence, the correct answer is $\frac{7}{9}$.
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Question : Working for 10 hours per day, 6 men can build a wall in a certain number of days. By working for how many hours/per day can 12 men build the wall on the same day?
Question : A can do a piece of work in 6 days, working 8 hours a day, while B can do the same work in 4 days, working 10 hours a day. If the work has to be completed in 5 days, how many hours do they need to work together in a day?
Question : P, Q, and R can finish a work in 5 days, 10 days, and 15 days, respectively, working alone. P and Q work on the first day, P and R work on the second day, P and Q work on the third day and so on till the work is completed. In how many days the work will be completed?
Question : 30 men can complete a work in 12 days. After 6 days, 24 more men joined them. How many days will it now take to complete the remaining work?
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