Question : A can do 50% of the job in 16 days. B can do $\frac{1}{4}$th of the job in 24 days. In how many days can they do $\frac{3}{4}$th of the job working together?
Option 1: 24
Option 2: 9
Option 3: 21
Option 4: 18
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Correct Answer: 18
Solution : A can complete the job in 32 days (since 50% of the job takes 16 days) and B can complete the job in 96 days (since 25% of the job takes 24 days). The combined rate of A and B is the sum of their rates. The time required by, A and B to complete the job in one day, $=\frac{1}{\frac{1}{32} + \frac{1}{96} }= \frac{96}{4} = 24$ days The time taken by them to complete $\frac{3}{4}$th of the job, they will take $\frac{3}{4}$ × 24 = 18 days Hence, the correct answer is 18.
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Question : 15 men and 21 women working together can do a job in 56 days, while 12 men and 24 women working together can do the same job in 64 days. In how many days can the same job be done by 18 men and 24 women working together?
Question : A, B, and C working alone, can complete a job in 16, 24, and 36 days, respectively. In how many days can they complete the job if they work together?
Question : P and Q together complete a job in $4 \frac{2}{5}$ days. R and S complete the same job in $4 \frac{8}{9}$ days. If P, Q, R, and S work together, how many days do they need to complete the same job?
Question : A can do $\frac{1}{4}$th part of a work in 9 days. B can do $\frac{2}{3}$rd part of the same work in 28 days. Working together, in how many days can A and B complete the whole work?
Question : A, B, and C can do a job working alone in 50, 75 and 20 days, respectively. They all work together for 4 days, then C quits. How many days will A and B take to finish the rest of the job?
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