To find out how long it will take for the fish to reach a depth of -37.8 meters, we first need to figure out how far the fish needs to go from its original depth of -10.8 meters.
-
Calculate the distance to descend:
The fish starts at a depth of -10.8 meters and wants to get to -37.8 meters. We can find the distance it needs to descend by subtracting the two depths.\[ -37.8 - (-10.8) = -37.8 + 10.8 = -27 \text{ meters} \]
So, the fish needs to go down 27 meters.
-
Calculate how many 1.5 meter descents are needed:
Since the fish descends 1.5 meters every 2 minutes, we divide the total distance it needs to descend by the distance it goes down in each step.\[ \text{Number of descents} = \frac{27 \text{ meters}}{1.5 \text{ meters/step}} = 18 \text{ steps} \]
-
Calculate the total time taken for the descents:
Each descent takes 2 minutes, so we multiply the number of descents by the time per descent.\[ \text{Total time} = 18 \text{ steps} \times 2 \text{ minutes/step} = 36 \text{ minutes} \]
Therefore, it will take the fish 36 minutes to reach a depth of -37.8 meters.
Sentence Explanation:
It will take the fish 36 minutes to swim down to -37.8 meters from its starting point of -10.8 meters.
3 answers