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A hot air balloon is 100 feet above the ground and descending at 3 ft/s. At the same time, another hot air balloon is at 60 feet above the ground and is rising at 5 ft/s.

User Kingluo
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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.

User Vinay Kolar
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