A1, A2, and A3, alone can complete a piece of work in 12 hours, 24 hours and 16 hours respectively. Working together, in how much time they will complete the same work?
Answer & explanation
Correct answer: option 2
A1 1 hour work = \(\frac{1}{12}\)
A2 1 hour work = \(\frac{1}{24}\)
A3 1 hour work = \(\frac{1}{16}\)
Together, their 1 hour = \(\frac{1}{12}\) + \(\frac{1}{24}\) + \(\frac{1}{16}\) = \(\frac{3}{16}\)
When they work together, they will do the job in \(\frac{16}{3}\) hours = 5 hours 20 minutes