a 12 gallon tank is filled with water at the rate off 1/4 gallon in 5 seconds. At this rate, how long will it take to fill 5/6 of the tank?
?????
5/6 = 10/12 <~~right?
1/4 gallon in 5 seconds = 1 gallon in 20 seconds <~~right? (Do you see why?)
How long will it take to fill the tank to the 10-gallon mark?
Yes i get it :)) The answer will be 200 seconds but why we need to ffind how low will take to fill 10 gallons i??
To find out how long it will take to fill 5/6 of the tank, we need to calculate the total time it takes to fill the entire tank and then multiply it by the fraction representing the portion we want to fill (5/6).
First, let's calculate the time it takes to fill the entire tank.
We know that the tank has a capacity of 12 gallons and water is being filled at a rate of 1/4 gallon in 5 seconds. So, we can set up a proportion to find the time it takes to fill the entire tank:
(1/4 gallon) / (5 seconds) = (12 gallons) / (x seconds)
Cross-multiplying, we get:
1/4 * x = 5 * 12
Simplifying, we have:
x/4 = 60
x = 240
So, it takes 240 seconds to fill the entire 12-gallon tank.
Now, let's find the time it takes to fill 5/6 of the tank.
Since we have already found the time it takes to fill the entire tank (240 seconds), we can multiply it by the fraction representing the portion we want to fill (5/6):
240 seconds * (5/6) = 200 seconds
Therefore, it will take 200 seconds to fill 5/6 of the 12-gallon tank at the given rate.