SOLUTION: At a traffic light, one cycle through green-yellow-red lasts for 110 seconds. The green light is on eight times longer than the yellow light, and the red light is on thirteen times

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: At a traffic light, one cycle through green-yellow-red lasts for 110 seconds. The green light is on eight times longer than the yellow light, and the red light is on thirteen times      Log On


   



Question 327770: At a traffic light, one cycle through green-yellow-red lasts for 110 seconds. The green light is on eight times longer than the yellow light, and the red light is on thirteen times longer than the yellow light. For how long is each colored light on during one cycle?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
G=8Y
R=13Y
R+G+Y=110
13Y+8Y+Y=110
22Y=220
Y=110/22
Y=5 SECONDS FOR THE YELLOW LIGHT.
8*5=40 SEC. FOR THE GREEN LIGHT.
13*5=65 SEC. FOR THE RED LIGHT.
PROOF:
65+40+5=110
110=110