The Garcia family and the Lee family each used their sprinklers last summer. The Garcia family's sprinkler was used for 40 hours. The Lee family's sprinkler was used for 20 hours. There was a combined total output of 2000L of water. What was the water output rate for each sprinkler if the sum of the two rates was 60L per hour?

Question

Mathematics

Brooke Chung

16 July, 14:32

The Garcia family and the Lee family each used their sprinklers last summer. The Garcia family's sprinkler was used for 40 hours. The Lee family's sprinkler was used for 20 hours. There was a combined total output of 2000L of water. What was the water output rate for each sprinkler if the sum of the two rates was 60L per hour?

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Answers (1)

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Andres Young · Answer 1

Lee = 20 L per hour.

Garcia = 40L per hour

Step-by-step explanation:

This formula is:

40x + 20y = 2000L

with if being known that x + y = 60.

In this x is the rate for Garcia and y is the rate for Lee.

You can also say that x = 60 - y, which you can fill in.

40 * (60-y) + 20y = 2000

2400 - 40y + 20y = 2000

-20y = - 400

y = 20 L per hour.

So x = 60 - 20 = 40L per hour