SOLUTION: Three machines are filling water bottles. The machines can fill the daily quota of water bottles in 12 h, 15 h, and 20 h, respectively. How long would it take to fill the daily quo

Question 733515: Three machines are filling water bottles. The machines can fill the daily quota of water bottles in 12 h, 15 h, and 20 h, respectively. How long would it take to fill the daily quota of water bottles with all three machines working?

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
1/12 + 1/15 + 1/20 = 1/t

5/60 + 4/60 + 3/60 = 1/t

(5+4+3)/60 = 1/t

12/60 = 1/t

1/5 = 1/t

1*t = 5*1

t = 5

So if all machines are working together (with no one machine hindering the other), then they will fill the quota in 5 hours.
RELATED QUESTIONS
Three machines are filling water bottles. The machines can fill the daily quota of water... (answered by josmiceli,ikleyn)

Three machines are filling water bottles. The machines can fill the daily quota of water... (answered by checkley77)

A local dairy has three machines to fill half-gallon milk cartons. The machines can fill... (answered by stanbon)

ONE BOTTLING MACHINE CAN FILL 400 BOTTLES OF WATER IN 1 HOUR AND ANOTHER MACHINE CAN FILL (answered by josmiceli)

a local dairy has three machines to fill half gallon milk cartons.The machine can fill... (answered by stanbon)

At the pure water bottling company one machine can produce 180 bottles in 5 hours and a... (answered by stanbon)

Machine A fills 120 bottles in every 40 seconds and Machine B fills 100 bottles in every (answered by ikleyn)

I have been struggling with this for the last hour... Three machines are twisting... (answered by Alan3354,josmiceli)

In a factory two different machines , A and B are used to fill bottles. When machines... (answered by stanbon)