Question

hughes family used their sprinklers for 35 hours and the scott family used theirs 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 70 L per hour?

Answer 1

The water output rate for each sprinkler is 40 L per hour and 30 L per hour.

Number of hours sprinklers used by Hughes family = 35 hours

Number of hours sprinklers used by Scott family = 20 hours.

combined total output of water = 2000L

The sum of the two rates was = 70 L per hour

Let the water output rate for Hughes family be x

For Scott family = 70 - x

So, we get the equation as:

35 x + 20 ( 70 - x ) = 2000

35 x + 1400 - 20 x = 2000

15 x = 600

x = 600 / 15

x = 40

For Hughes family = 40 L / hour

For Scott family = 30 L / hour

Therefore, we get that, the water output rate for each sprinkler is 40 L per hour and 30 L per hour.

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