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 the fish to reach a depth of -37.8 meters
To find how long it will take the fish to reach a depth of -37.8 meters, we need to find the number of times it descends 1.5 meters and add that to the initial depth of -10.8 meters.
First, we find the difference between the initial depth and the target depth: -37.8 m - (-10.8 m) = -37.8 m + 10.8 m = -27 m.
Since the fish descends 1.5 meters every 2 minutes, we divide the difference by 1.5: -27 m / 1.5 m = -18.
Therefore, the fish will take 18 * 2 = <<18*2=36>>36 minutes to reach a depth of -37.8 meters.
To solve this word problem, we need to find out how many times the fish descends by 1.5 meters until it reaches a depth of -37.8 meters. Then, we can multiply that number by the time it takes for each descent.
First, let's find the difference between the current depth (-10.8 meters) and the target depth (-37.8 meters):
-37.8 meters - (-10.8 meters) = -37.8 meters + 10.8 meters = -27 meters
Now, let's divide this difference (-27) by the descent rate per descent (1.5 meters):
-27 meters / 1.5 meters = -18
This represents the number of descents the fish needs to make. Since each descent occurs every 2 minutes, we can multiply the number of descents (-18) by the time it takes for each descent (2 minutes) to find the total time:
-18 descents * 2 minutes per descent = -36 minutes
Therefore, it will take the fish approximately 36 minutes to reach a depth of -37.8 meters.
To solve this problem, we need to find out how many 2-minute intervals it will take for the fish to reach a depth of -37.8 meters.
The difference between the initial depth and the desired depth is -37.8m - (-10.8m) = -37.8m + 10.8m = -27m.
Since the fish descends 1.5 meters every 2 minutes, we can calculate the number of intervals needed by dividing the total depth difference by the descent rate per interval.
Number of intervals = (-27m) ÷ (1.5m/2min)
Simplifying this equation gives us:
Number of intervals = (-27m) × (2/1.5m)
Number of intervals = -36
Therefore, the fish will take 36 intervals of 2 minutes each to reach a depth of -37.8 meters.
To find the total time, multiply the number of intervals by the duration of each interval:
Total time = 36 intervals × 2 minutes/interval = 72 minutes
So, it will take the fish 72 minutes to reach a depth of -37.8 meters.