The water output for a sprinkler was 15 L per hour. The other output rate for the sprinkler was 25 L per hour. The sprinklers were used for a combined 65 hours, resulting a total water output of 1275 L. How long was each sprinkler used?

Answer 1

Let x be the number of hours the first sprinkler was used and y be the number of hours the second sprinkler was used.

We can create a system of equations based on the given information:
x + y = 65 (total combined hours)
15x + 25y = 1275 (total water output)

Solving the first equation for x, we get:
x = 65 - y

Substituting this into the second equation, we get:
15(65 - y) + 25y = 1275
975 - 15y + 25y = 1275
10y = 300
y = 30

Substituting y back into x = 65 - y, we get:
x = 65 - 30
x = 35

Therefore, the first sprinkler was used for 35 hours and the second sprinkler was used for 30 hours.