A fish is swimming at —10.8 meters, or 10.8 meters below sea level. Every 2 minutes it descends another 1.5 meters. How long will it take for the fish to reach a depth of -37.8 meters?

3 answers

The fish descends 1.5 meters every 2 minutes, so it needs to descend $37.8 - 10.8 = 27$ meters further.

Since the fish descends 1.5 meters every 2 minutes, it will take $\frac{27}{1.5} = \boxed{18}$ sets of 2 minutes to descend the remaining 27 meters.
The fish will take 18 minutes to reach a depth of -37.8 meters. This is calculated by setting up an equation based on the fish's initial depth of -10.8 meters and its descent rate of 1.5 meters every 2 minutes. By solving the equation -10.8 + 1.5t = -37.8, where 't' represents the time in minutes, we find that 't' is equal to -18. This means that it will take the fish 18 minutes to reach the desired depth.

In summary, the fish will take 18 minutes to reach a depth of -37.8 meters by descending at a rate of 1.5 meters every 2 minutes.
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