Question : P and Q can do a piece of work in 24 days, while R and S can do the same work in 8 days. In how many days P, Q, R, and S do it together?
Option 1: 10 days
Option 2: 6 days
Option 3: 7 days
Option 4: 5 days
Answer (1)
23rd Jan, 2024
Correct Answer: 6 days
Solution :
P and Q in 1 day can do $\frac{1}{24}$ part
R and S in 1 day can do $\frac{1}{8}$ part
So, P, Q, R, and S together in 1 day can do ($\frac{1}{24}$ + $\frac{1}{8}$) = $\frac{1}{6}$ part of work.
Hence, the correct answer is 6 days.
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