MATH SOLVE

3 months ago

Q:
# the morgan famili and the alexander family each ised their sprinkles last summer. the water output was 20. l per hour. The water output rate for the Alexander family ‘s sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 50 hours, resulting in total water output of 1400 L. How long was each sprinkler used?

Accepted Solution

A:

Answer:number of hours Alexander family ‘s sprinkler work = 20number of hours Morgan family ‘s sprinkler work = 30Step-by-step explanation:Given in the question,water output rate for the Alexander family ‘s sprinkler = 40 L water output rate for the Morgan family ‘s sprinkler = 20 LSuppose, number of hours Alexander family ‘s sprinkler work = xSuppose, number of hours Morgan family ‘s sprinkler work = yEquation1x + y = 50Equation 240x + 20y = 1400x = 50 - yPut this value of x in equation 240(50-y) + 20y = 14002000 - 40y + 20y = 1400-20y = 1400 - 2000-20y = -600 y = 30Put this value of y in equation 1 to get the value of x x + 30 = 50x = 50 - 30x = 20