Question

Two​ neighbors, Wilma and​ Betty, each have a swimming pool. Both​ Wilma's and​ Betty's pools hold 8000 gallons of water. If​ Wilma's garden hose fills at a rate of 600 gallons per hour while​ Betty's garden hose fills at a rate of 500 gallons per​ hour, how much longer does it take Betty to fill her pool than​ Wilma?

Answer 1

2 h 40 min

Explanation:

Gallons = number of hours × gallons per hour

`\text{Number of hours} = \frac{\text{gallons}}{\text{gallons per hour}}`

(a) Wilma's pool

`\text{Number of hours} = (8000)/(600) = \text{13.33 h}`

(b) Betty's pool

`\text{Number of hours} = (8000)/(500) = \text{16.00 h}`

(c) The difference

16.00 - 13.33 = 2.67 h or 2 h 40 min

It takes 2 h 40 min longer to fill Betty's pool than Wilma's.

Answer 2

2 2/3 hours

Explanation:

Wilma's pool fills in ...

(8000 gal)/(600 gal/h) = 40/3 h = 13 hours 20 minutes

Betty's pool fills in ...

(8000 gal)/(500 gal/h) = 16 h

It takes 2 hours 40 minutes longer for Betty's pool to fill.