SOLUTION: Two rainstorms occurred in one week in a certain area. In the first storm 15mL of rain fell per hour, and in the second storm 35mL of rain fell per hour. Rain fell that week for a

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Two rainstorms occurred in one week in a certain area. In the first storm 15mL of rain fell per hour, and in the second storm 35mL of rain fell per hour. Rain fell that week for a       Log On


   

Question 176788: Two rainstorms occurred in one week in a certain area. In the first storm 15mL of rain fell per hour, and in the second storm 35mL of rain fell per hour. Rain fell that week for a total of 50 hours for a total rainfall of1450 mL . How long was each storm?

My sister asked for my help here but I am not sure if I am doing correctly
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
lets call time for storm 1 and storm 2 t%5B1%5Dand t%5B2%5D respectively
:
t%5B1%5D%2Bt%5B2%5D=50.....eq 1
15t%5B1%5D%2B35t%5B2%5D=1450..eq 2
:
take eq 1 and re write to t%5B1%5D=50-t%5B2%5D
:
15%2850-t%5B2%5D%29%2B35t%5B2%5D=1450
:
750-15t%5B2%5D%2B35t%5B2%5D=1450
:
20t%5B2%5D=700
:
highlight%28t%5B2%5D=35%29hours
:
t%5B1%5D=50-t%5B2%5D=50-35=highlight%2815%29hours