solve the following word problem a fish is swimming at -10.8 m or 10.8 m below sea level every two minutes in distance another 1.5 m how long will it take for the fish to reach a depth of -37.8 meters
To solve the problem, we need to find out how many times the fish needs to swim the distance of 1.5 meters in order to reach a depth of -37.8 meters.
First, let's find out the difference between the initial depth of the fish (-10.8 meters) and the target depth (-37.8 meters):
Target depth - Initial depth = -37.8 m - (-10.8 m)
= -37.8 m + 10.8 m
= -27 m
Next, we need to divide the difference in depth by the distance the fish swims every two minutes:
-27 m ÷ 1.5 m = -18
Therefore, the fish needs to swim 18 times the distance of 1.5 meters to reach a depth of -37.8 meters.
Since the fish takes 2 minutes to swim each distance, we can multiply 2 minutes by 18 to find how long it will take for the fish to reach the target depth:
2 min × 18 = 36 min
Therefore, it will take the fish 36 minutes to reach a depth of -37.8 meters.
To find out how long it will take for the fish to reach a depth of -37.8 meters, we need to determine how many times the fish needs to swim the additional distance of 1.5 meters in order to cover the remaining depth.
The fish is currently at -10.8 meters and needs to reach -37.8 meters. The difference in depth between these two points is:
-37.8 m - (-10.8 m) = -37.8 m + 10.8 m = -27 m
Now, we can calculate the number of times the fish needs to swim the additional 1.5 meters to cover the remaining depth:
-27 m ÷ 1.5 m = -18
The fish needs to swim the additional distance 18 times to reach a depth of -37.8 meters.
Since the fish takes 2 minutes to swim the additional distance of 1.5 meters, we can calculate the total time it will take for the fish to reach the desired depth:
Total time = 2 minutes × 18 = 36 minutes
Therefore, it will take the fish 36 minutes to reach a depth of -37.8 meters.