Question

The Williams family and the Robinson family each used their sprinklers last summer. The water output rate for the Williams family's sprinkler was 25 L per hourThe water output rate for the Robinson family's sprinkler was 35 L per hour. The families used their sprinklers for a combined total of 75 hours, resulting in atotal water output of 2225 L. How long was each sprinkler used?Note that the ALEKS graphing calculator can be used to make computations easier.X5?Williams family's sprinkler: hoursRobinson family's sprinkler: I hoursI

Answer 1

Answer

The Williams family used their sprinkler for 40 hours.

The Robinson family used their sprinklers for 35 hours.

Explanation

Let the number of hours that the Williams family used their sprinklers be x hours

Let the number of hours that the Robinson family used their sprinklers be y hours

They both use their sprinklers for a combined total of 75 hours

x + y = 75 (equation 1)

And this resulted in a combined total water output of 2225 L

If the Williams used their 25 L per hour sprinkler for x hours,

Total water output for the Williams family = (25) (x) = (25x) L

If the Robinson used their 35 L per hour sprinkler for y hours,

Total water output for the Robinson family = (35) (y) = (35y) L

But, their combined total water output is 2225 L

25x + 35y = 2225 (equation 2)

x + y = 75

25x + 35y = 2225

On solving this simultaneous equation, we obtain that

x = 40 hours

y = 35 hours

Hope this Helps!!!