Answer:
Step-by-step explanation:To find out when the two hot air balloons will be at the same height, we can set up equations based on their heights and rates of change.
Let's assume t represents time in seconds, and h1 and h2 represent the heights of the two balloons at time t.
The first hot air balloon is descending at a rate of 3 ft/s, so its height can be represented as h1 = 100 - 3t.
The second hot air balloon is rising at a rate of 5 ft/s, so its height can be represented as h2 = 60 + 5t.
To find the time when the two balloons are at the same height, we need to solve the equation h1 = h2.
100 - 3t = 60 + 5t
To solve for t, we can simplify the equation:
100 - 60 = 5t + 3t
40 = 8t
t = 40/8
t = 5
Therefore, the two hot air balloons will be at the same height after 5 seconds.