Answer: 3480 seconds and 5420 feet
Step-by-step explanation:
We can set an equation for both Keith and Erica. Let t = time in seconds.
Keith's BalloonHeight = 1.5*t+200ft
Erica's Balloon Height = 1.4*t+548ft
We want to know when E=K (same height)
1.4*t+548ft = 1.5*t+200ft
348 = 0.1t
t = 3480 seconds
Use this time in either Keith's or Erica's Height formula:
Keith Balloon Height: 1.5*t+200ft for t=3480
1.5*(3480)+548
Keith's Height in 3460 sec: 5420 feet
Erik's Balloon Height: = 1.4*t+548ft
= 1.4*(3480)+548ft
Erik's Height in 3480 sec: 5420 feet
The two lines intersect at (3460,5420). At 3460 seconds both balloons will be at 5420 feet.
