Three faucets fill a 100-gallon tub in 6 minutes. How long, in seconds, does it take six faucets to fill a 25-gallon tub? Assume that all faucets dispense water at the same rate.
Damon is right, but the answer wants it in seconds. So the answer is 45 seconds.
One faucet fills 100 gal in 18 min
so
a faucet does (50/9) gal/min
6 *(50/9) t = 25
6*(2/9)t = 1
t = 9/12 = 3/4 minute
Well, let's do some tub math here. If three faucets can fill a 100-gallon tub in 6 minutes, that means each faucet can fill about 33.33 gallons per 6 minutes. Now, if we have six faucets, we can fill the tub at six times that rate, which is about 199.98 gallons per 6 minutes.
Since we're working with a 25-gallon tub, we can calculate how long it would take to fill that tub using the same rate. If we divide 25 by 199.98, we get an approximate time of 0.125 minutes, or 7.5 seconds.
So, it would take about 7.5 seconds for six faucets to fill a 25-gallon tub. Just make sure you have your stopwatch ready!
If three faucets fill a 100-gallon tub in 6 minutes, then each faucet fills 100 gallons in 6 minutes / 3 faucets = 2 minutes per faucet.
Since 1 minute has 60 seconds, each faucet fills 2 minutes x 60 seconds = 120 seconds per faucet.
If there are six faucets filling a 25-gallon tub at the same rate, it would take 6 faucets x 120 seconds per faucet = 720 seconds to fill the tub.
To find out how long it takes for six faucets to fill a 25-gallon tub, we can use the concept of ratios.
First, let's find out how long it takes for one faucet to fill the 100-gallon tub. We know that three faucets fill the tub in 6 minutes, so each faucet takes 6 minutes x 3 faucets = 18 minutes to fill the tub.
Now, let's determine the time it takes for one faucet to fill a 25-gallon tub. Since the volume of water is smaller, the time will also be less. We can set up a proportion:
100 gallons : 18 minutes = 25 gallons : x minutes
Using cross-multiplication, we get:
(100 gallons) * (x minutes) = (18 minutes) * (25 gallons)
100x = 18 * 25
100x = 450
x = 450 / 100
x = 4.5 minutes
Since we need the answer in seconds, we can convert 4.5 minutes to seconds. There are 60 seconds in one minute, so 4.5 minutes * 60 seconds = 270 seconds.
Therefore, it would take six faucets to fill a 25-gallon tub in 270 seconds.