A fish is swimming at -10.8 meter below sea level every 2 minutes it descends 1.5 meters lower how long will it take the fish to reach -37.8 meter below sea level?
To find out how long it takes for the fish to reach -37.8 meters below sea level, we need to determine the number of times the fish descends 1.5 meters.
First, we find the difference in depth between the fish's current position (-10.8 meters) and the target depth (-37.8 meters): -37.8 meters - (-10.8 meters) = -37.8 meters + 10.8 meters = -27 meters.
Next, we calculate how many times the fish needs to descend 1.5 meters to reach a depth of -27 meters: -27 meters ÷ 1.5 meters = 18.
Since the fish descends 1.5 meters every 2 minutes, it will take 18 * 2 = <<18*2=36>>36 minutes for the fish to reach -37.8 meters below sea level.
To calculate the time it will take for the fish to reach -37.8 meters below sea level, we can use the following steps:
1. Determine the initial depth of the fish: -10.8 meters below sea level.
2. Calculate how many descents of 1.5 meters the fish must make to reach -37.8 meters below sea level.
- The difference between -10.8 and -37.8 is 27 meters.
- Each descent is 1.5 meters.
- Therefore, the fish needs to make (27 / 1.5) descents.
3. Calculate the time needed for the fish to reach the desired depth.
- The fish descends 1.5 meters every 2 minutes.
- The fish needs to make (27 / 1.5) descents, so it will take (27 / 1.5) * 2 minutes.
Now let's calculate the time it will take for the fish to reach -37.8 meters below sea level:
(27 / 1.5) * 2 = 36 * 2 = 72 minutes
Therefore, it will take the fish 72 minutes to reach -37.8 meters below sea level.
To find out how long it will take for the fish to reach a depth of -37.8 meters below sea level, we can set up an equation.
Let's denote the initial depth of the fish as D_initial, the rate at which it descends as R, and the final desired depth as D_final.
Given:
D_initial = -10.8 meters
R = 1.5 meters/2 minutes = 0.75 meters/minute
D_final = -37.8 meters
To calculate the time it takes, we can use the formula:
Time = (D_final - D_initial)/R
Applying the values to the formula, we have:
Time = (-37.8 - (-10.8))/0.75 = (-37.8 + 10.8)/0.75 = -27/0.75 = -36 minutes
Since time cannot be negative, the negative sign in the numerator cancels out, giving us:
Time = 36 minutes
So, it will take the fish around 36 minutes to reach a depth of -37.8 meters below sea level.