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 :(
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.
To solve this problem, we need to find out how many times the fish descends by 1.5 meters to reach a depth of -37.8 meters from -10.8 meters.
First, let's represent the initial depth of the fish by "D1" and the final depth by "D2". In this case, D1 = -10.8 meters and D2 = -37.8 meters.
Next, let's represent the time it takes for the fish to descend by 1.5 meters as "T". According to the problem, every 2 minutes the fish descends by 1.5 meters.
We can calculate the total number of descents the fish needs to make by dividing the change in depth by the change in distance for each descent:
Total number of descents = (D2 - D1) / 1.5
Plugging in the values, we have:
Total number of descents = (-37.8 - (-10.8)) / 1.5
Total number of descents = (-37.8 + 10.8) / 1.5
Total number of descents = -27 / 1.5
Now, let's calculate the time it takes for the fish to reach the final depth by multiplying the total number of descents by the time it takes for each descent:
Total time = Total number of descents * 2 (minutes)
Plugging in the values, we have:
Total time = (-27 / 1.5) * 2
Total time = -27 * 2 / 1.5
Total time = -54 / 1.5
Therefore, it will take the fish -54 / 1.5 minutes to reach a depth of -37.8 meters. However, it's important to note that the result is negative because the fish is descending below sea level.
To solve this problem, we need to determine how many times the fish will descend 1.5 meters before reaching a depth of -37.8 meters.
The fish is currently at a depth of -10.8 meters. It needs to reach a depth of -37.8 meters.
The fish descends 1.5 meters every 2 minutes. Therefore, we can calculate the number of 1.5 meter descents by dividing the total distance the fish needs to descend by 1.5.
Total distance fish needs to descend = -37.8 meters - (-10.8 meters)
= -37.8 meters + 10.8 meters
= -27 meters
Number of descents = Total distance fish needs to descend / descent per 2 minutes
= -27 meters / 1.5 meters
= -18
Since the fish descends 1.5 meters every 2 minutes, it will take 2 minutes for each descent. Therefore, it will take the fish 18 * 2 = 36 minutes to reach a depth of -37.8 meters.