A Pump for a Small Swimming Pool Will Circulate 3

Question

Examlex · Accepted Answer

The Answer is To determine how many hours it will take to filter the entire contents of the pool, we need to divide the total volume of water in the pool by the flow rate of the pump.

The pump's flow rate is given as 3.00 × 10^5 gallons per hour (gph), and the pool contains 1.30 × 10^3 gallons of water.

Now, we divide the total volume of the pool by the pump's flow rate:

Hours to filter = Total volume of water / Pump flow rate
Hours to filter = (1.30 × 10^3 gallons) / (3.00 × 10^5 gph)

To perform the division, we subtract the exponents in the denominator from the exponents in the numerator (when dividing numbers in scientific notation, you subtract the exponents):

Hours to filter = 1.30 / 3.00 × 10^(3 - 5)
Hours to filter = 0.4333... × 10^(-2)

To express this in standard decimal form, we move the decimal point two places to the left (since the exponent is -2):

Hours to filter ≈ 0.004333...

This means it would take approximately 0.004333 hours to filter the entire contents of the pool. However, this result seems unreasonably short for a pool filtration cycle. It's possible that there was a misunderstanding with the provided numbers, as filtering an entire pool usually takes several hours. Please double-check the values for the pump's flow rate and the pool's volume to ensure they are correct. If the values are indeed correct, then the pool would be filtered very quickly, in just a fraction of an hour.

A Pump for a Small Swimming Pool Will Circulate 3

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