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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


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 10th Jan, 2024

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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