Question : O, T, and P can do a piece of work in 3, 4, and 6 hours respectively. If they are working together, then in how much time they will finish the work?
Option 1: 1 hour
Option 2: 1 hour 10 minutes
Option 3: 1 hour 20 minutes
Option 4: 1 hour 15 minutes
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Correct Answer: 1 hour 20 minutes
Solution : Given, O, T, and P can do a piece of work in 3, 4, and 6 hours respectively. One day work of O, T, and P will be $\frac{1}{3}$, $\frac{1}{4}$, and $\frac{1}{6}$ respectively. Total one day work of O, T, and P together $=$$\frac{1}{3}+\frac{1}{4}+\frac{1}{6}=\frac{9}{12}$ Time taken by them to complete the work $= \frac{12}{9}=\frac{4}{3}$ hours = 1 hour 20 minutes Hence, the correct answer is 1 hour 20 minutes.
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