Question

it takes 8 minutes for Byron to fill the kiddie pool in the backyard using only a handheld hose. When his younger sister is impatient, Byron also uses the lawn sprinkler to add water to the pool so it is filled more quickly. If the hose and sprinkler are used together, it takes 5 minutes to fill the pool. Which equation can be used to determine r, the rate in parts per minute, at which the lawn sprinkler would fill the pool if used alone?

Answer 1

the answer is b

Explanation:

i took the test

Answer 2

Lawn Sprinkler Time = (Hose Time * Combined Time) / (Hose Time - Combined Time)
Lawn Sprinkler Time = (8 * 5) / (8 -5)
Lawn Sprinkler Time = 40 / 3
Lawn Sprinkler Time = 13.33 minutes

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Double-Check
Total Time = (Time 1 * Time 2) / (Time 1 + Time 2)
Total Time = (8 * 13.33) / (8 + 13.33)
Total Time = 5 minutes
It is correct!!