A group of marine biologists collected data on the velocity of the dolphin using a GPS tracker the GPS tracker measures that the dolphin was swimming at 25 knots the biologists are interested in finding out how many hours it would take for the dolphin to swim 45 nautical miles if it continues to swim at a constant speed of $25 knots in order to use units to verify your rearrangement of the formula of what process needs to be done enter the value corresponding to your answer option one miles option two nautical miles option three hours

Answer 1

To find out how long it would take for the dolphin to swim 45 nautical miles at a speed of 25 knots, we can use the formula relating distance, speed, and time:

\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

In this case:

• Distance = 45 nautical miles
• Speed = 25 knots

Now, substituting the values into the formula:

\[ \text{Time} = \frac{45 \text{ nautical miles}}{25 \text{ knots}} = 1.8 \text{ hours} \]

So, it would take the dolphin 1.8 hours to swim 45 nautical miles at a speed of 25 knots.

To verify the units:

• Distance is in nautical miles.
• Speed is in knots, which is equivalent to nautical miles per hour.

Thus, the units correctly cancel out:

\[ \text{Time} = \frac{\text{nautical miles}}{\text{nautical miles/hour}} = \text{hours} \]

The process to find the time involves dividing the distance by the speed, and you confirmed that the resulting unit is indeed hours.

The answer is 1.8 hours.