Question : P alone can do a piece of work in 24 days. Q alone can do it in 30 days and R alone can do it in 20 days. In how many days they can complete it together?
Option 1: 15 days
Option 2: 18 days
Option 3: 8 days
Option 4: 10 days
Correct Answer: 8 days
Solution :
P alone can do a piece of work in 24 days. Q alone can do it in 30 days and R alone can do it in 20 days.
P's 1 day's work = $\frac{1}{24}$
Q's 1 day's work = $\frac{1}{30}$
R's 1 day's work = $\frac{1}{20}$
When P, Q, and R work together, their combined 1 day's work = $\frac{1}{24} + \frac{1}{30} + \frac{1}{20} = \frac{1}{8}$
So, together they will finish the work in 8 days.
Hence, the correct answer is 8 days.
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