determine the time the barrel was empty. if after 30 seconds there are 14 gallons of water left and after one minute there are 9 gallons left.
https://www.jiskha.com/display.cgi?id=1512227767
i am getting 35 min and 7 sec. is that correct?
No.
5 gallons in 30 seconds
1 gallon in 6 seconds
9 gallons in 6 * 9 = 54 seconds
To determine the time the barrel was empty, we need to first understand the rate at which the water is being emptied from the barrel.
Let's analyze the information provided:
- After 30 seconds, there are 14 gallons left.
- After one minute (60 seconds), there are 9 gallons left.
To find the rate, we can calculate how many gallons are being emptied per second.
First, we calculate the change in the amount of water from 30 seconds to 60 seconds:
Change in gallons = 14 gallons - 9 gallons = 5 gallons
Next, we determine the time it took for this change to occur:
Change in time = 60 seconds - 30 seconds = 30 seconds
Now, we can calculate the rate at which water is being emptied:
Rate = Change in gallons / Change in time = 5 gallons / 30 seconds = 1/6 gallons per second
Now, we can find the time it takes for the barrel to be completely empty by setting the number of gallons left equal to zero and solving for time:
0 gallons = 9 gallons - (1/6 gallons per second) * Time
Simplifying the equation:
(1/6) * Time = 9
Solving for Time:
Time = 9 * (6/1) = 54 seconds
Therefore, the barrel was completely empty after 54 seconds.