QuestionHow many hours to drain a pool with 820 gallons if ?
Studdy Solution
STEP 1
Assumptions1. The number of gallons of water in the pool changes with time according to the equation .
. The pool currently has820 gallons of water.
3. We want to find the time in hours it would take to drain the pool.
STEP 2
First, we need to find the time it takes to drain the pool. We can do this by setting the equation equal to the number of gallons in the pool and solving for .
STEP 3
Subtract100 from both sides of the equation to isolate the term with .
STEP 4
Calculate the result on the left side of the equation.
STEP 5
Divide both sides of the equation by4 to solve for .
STEP 6
Calculate the value of .
So, it takes180 minutes to drain the pool.
STEP 7
Since we want the time in hours, we need to convert the time from minutes to hours. We can do this by dividing the number of minutes by60 (since there are60 minutes in an hour).
STEP 8
Plug in the value of to calculate .
STEP 9
Calculate the value of .
It would take3 hours to drain a pool that currently has820 gallons.
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