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? StartFraction 5 Over 8 EndFraction plus 5 r equals 8. + 5r = 8 5 times StartFraction 5 Over 8 EndFraction equals r. + 5r = 1 5(5 times StartFraction 5 Over 8 EndFraction equals r.) = r StartFraction 5 Over 8 EndFraction equals 5 r. = 5r

Answer 1

5/8+ 5r = 1

Explanation:

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.

Where r = rate in parts per minutes

Hand held hose = 8 minutes

Lawn sprinkler = x

If the hose and sprinkler are used together, it takes 5 minutes to fill the pool.

Hence:

5/8+ 5r = 1

The 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 is given as:

5/8 + 5r = 1