Question

The rational function models the time, in hours, needed to fill a swimming pool, where x is the flow rate of the hose, in gallons per hour. Three hoses – two with a flow rate of 400 gal/hr and one with a flow rate of 300 gal/hr – are used to fill the pool. What is the total flow rate if all three hoses are used?

1) 700 gal/hr
2) 800 gal/hr
3) 900 gal/hr
4) 1100 gal/hr

Answer 1

The total flow rate when using two hoses with a flow rate of 400 gal/hr each and one hose at 300 gal/hr is 1100 gal/hr.

Step-by-step explanation:

When calculating the total flow rate for all three hoses used to fill a swimming pool, we simply need to add the flow rates of the individual hoses together. The problem states that there are two hoses with a flow rate of 400 gallons per hour (gal/hr) each, and one hose with a flow rate of 300 gal/hr. Therefore, the total flow rate is:

• 400 gal/hr + 400 gal/hr (Two hoses at 400 gal/hr each)
• 300 gal/hr (One hose at 300 gal/hr)

Adding these together gives us:

400 gal/hr + 400 gal/hr + 300 gal/hr = 1100 gal/hr

Thus, the correct answer is option 4) 1100 gal/hr.