A fish is swimming at -10.8 m, or 10.8 m below sea level. Every two minutes it the seats another one. 5 m how long will it take for the fish to reach a deep of -37.8 m.
To determine how long it will take for the fish to reach a depth of -37.8 m, we need to find out how many times the fish needs to descend by 5 m.
First, we calculate the difference between the initial depth (-10.8 m) and the target depth (-37.8 m): -37.8 m - (-10.8 m) = -37.8 m + 10.8 m = -27 m.
Since the fish descends by 5 m every 2 minutes, we divide the difference in depth by the descent rate: -27 m / 5 m = 5.4.
This means that the fish needs to descend 5.4 times to reach a depth of -37.8 m.
Given that it takes 2 minutes for the fish to descend once, we multiply the number of descents needed by the time it takes for each descent: 5.4 x 2 = 10.8.
Therefore, it will take the fish approximately 10.8 minutes to reach a depth of -37.8 m.
To find the time it will take for the fish to reach a depth of -37.8 m, we can start by calculating the number of 5 m intervals the fish needs to swim.
Initial depth: -10.8 m
Target depth: -37.8 m
Interval distance: 5 m
The difference between the initial depth and the target depth is 37.8 m - 10.8 m = 27 m. Each interval covers a distance of 5 m, so we need to find how many times 5 m fits into 27 m.
Number of intervals: 27 m / 5 m = 5.4 intervals
Since the fish can only swim full intervals, we need to round up the number of intervals to the nearest whole number. Therefore, the fish needs to swim at least 6 intervals of 5 m to reach a depth of -37.8 m.
Now, we can calculate the total time it will take for the fish to swim these intervals.
Time per interval: 2 minutes
Number of intervals: 6 intervals
Total time: Time per interval x Number of intervals = 2 minutes/interval x 6 intervals = 12 minutes
So, it will take the fish 12 minutes to reach a depth of -37.8 m.
To find out how long it will take for the fish to reach a depth of -37.8 m, we need to calculate the number of 5 m increments the fish needs to swim.
Given that the fish is currently swimming at -10.8 m, and every two minutes it descends another 5 m, we can calculate the depth the fish descends in one minute:
Depth descended in one minute = 5 m / 2 minutes = 2.5 m
Now, we need to determine how many increments of 5 m the fish needs to reach a depth of -37.8 m. Let's call this variable "x."
Total depth descended = Depth descended in one minute (2.5 m) * x
Equating this to the target depth of -37.8 m:
2.5 m * x = -37.8 m
To solve for x, we divide both sides of the equation by 2.5 m:
x = -37.8 m / 2.5 m ≈ -15.12
Since the fish cannot descend a negative number of increments, we take the absolute value of x:
x ≈ |-15.12| = 15.12
Therefore, the fish needs to descend approximately 15.12 increments of 5 m to reach a depth of -37.8 m.
Considering that each increment takes two minutes, we multiply the number of increments by 2:
Time taken = Number of increments (15.12) * Time per increment (2 minutes)
Time taken ≈ 15.12 * 2 minutes ≈ 30.24 minutes
Hence, it will take the fish approximately 30.24 minutes to reach a depth of -37.8 m.