Question

The Torres family and the Choi family each used their sprinklers last summer. The water output rate for the Torres family's sprinkler was35 L per hour. The wateroutput rate for the Choi family's sprinkler was 15 L per hour. The families used their sprinklers for a combined total of S hours, resulting in a total water output of1625 L. How long was each sprinkler used?

Answer 1

Torres family: The sprinkler has a water output rate of 35 L/hour

Choi family: The sprinkler has a water output rate of 15 L/hour

Both families used the sprinklers for "S" hours and used a total of 1625L of water.

The total water output is equal to the sum of the water output of each family.

- To determine the total water output of the Torres family after S hours, you have to multiply the output rate by the number of hours S

- The total water output of the Choi family after S hours is equal to the output rate multiplied by the number of hours S.

- If you add both, you will determine an expression that can be used to determine the amount of time S:

`35S+15S=1625`

First, add both S-terms

`\begin{gathered} 35S+15S=1625 \\ 50S=1625 \end{gathered}`

Divide both sides by 50

`\begin{gathered} (50S)/(50)=(1625)/(50) \\ S=32.5 \end{gathered}`

The sprinklers were used for 32.5 hours.