QuestionHow long to drain a pond with 14,274 gallons at 78 gallons/hour? Use $t = \frac{14,274}{78}$ .

Studdy Solution

STEP 1

Assumptions1. The total volume of water in the pond is14,274 gallons. . The rate at which the pond can be drained is78 gallons per hour.
3. The pond is drained at a constant rate.

STEP 2

We need to find the time it takes to drain the pond. This can be found by dividing the total volume of water by the rate at which the pond is drained.
$Time = \frac{Total\, volume\, of\, water}{Rate\, of\, draining}$

STEP 3

Now, plug in the given values for the total volume of water and the rate of draining to calculate the time.
$Time = \frac{14,274\, gallons}{78\, gallons\, per\, hour}$

STEP 4

Perform the division to calculate the time.
$Time = \frac{14,274}{78} =183\, hours$ It will take183 hours to drain the pond.

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