Solve the following word problem. 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?

Please explain how to solve this, im confused by their wording :(

1 answer

To solve this problem, we need to determine how long it will take for the fish to descend from -10.8 meters to -37.8 meters.

First, let's calculate how much the fish needs to descend to reach the desired depth:
Desired depth = Final depth - Initial depth
Desired depth = -37.8 meters - (-10.8 meters)
Desired depth = -37.8 meters + 10.8 meters
Desired depth = -27 meters

Now, we need to determine the number of times the fish descends 1.5 meters in order to reach -27 meters:
Number of times = Desired depth / Descent per time
Number of times = -27 meters / 1.5 meters
Number of times = -18

As stated in the problem, the fish descends 1.5 meters every 2 minutes. Therefore, the total time it will take for the fish to descend from -10.8 meters to -37.8 meters is the number of times it descends multiplied by the time it takes for each descent:
Total time = Number of times * Time per descent
Total time = -18 * 2 minutes
Total time = -36 minutes

Therefore, it will take the fish 36 minutes to reach a depth of -37.8 meters.