Let's denote the time in seconds as t.
For the gold balloon:
Altitude = 15 + 2t
For the purple balloon:
Altitude = 2.5t
To find when they are at the same altitude, we set their altitudes equal to each other:
15 + 2t = 2.5t
15 = 0.5t
t = 30
Therefore, the balloons were at the same altitude after 30 seconds.
Two hot air balloons, one purple and one gold, took off at the same time. The purple balloon started from sea level and the gold balloon started from a hill 15 meters above sea level.
The gold balloon began climbing at a constant rate of 2 meters per second. The purple balloon began climbing at 2.5 meters per second.
After how many seconds were the balloons at the same altitude?
1 answer