Math

QuestionA pool holds 3.5×1043.5 \times 10^{4} gallons. How many hours to fill it with a hose that delivers 630 gallons/hour? Round to whole number.

Studdy Solution

STEP 1

Assumptions1. The capacity of the swimming pool is 3.5×1043.5 \times10^{4} gallons. The pool is initially empty3. The garden hose delivers630 gallons of water per hour4. We need to round our answer to the nearest whole number

STEP 2

We need to find the number of hours it will take to fill the pool. We can do this by dividing the pool's capacity by the rate at which the hose delivers water.
Hours=PoolcapacityRateofwaterdeliveryHours = \frac{Pool\, capacity}{Rate\, of\, water\, delivery}

STEP 3

Now, plug in the given values for the pool's capacity and the rate of water delivery to calculate the hours.
Hours=3.5×10630Hours = \frac{3.5 \times10^{}}{630}

STEP 4

Calculate the number of hours it will take to fill the pool.
Hours=3.×10463055.56Hours = \frac{3. \times10^{4}}{630} \approx55.56

STEP 5

Since we need to round our answer to the nearest whole number, we round55.56 to56.
So, it will take approximately56 hours to fill the swimming pool using a garden hose that delivers630 gallons of water per hour.

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