Question

On the sea, distances are measured in nautical miles rather than miles. 1 nautical mile = 6080 feet 1 knot = 1 nautical mile per hour. a. If a boat travels at 16 knots for 1 hour, how far will it have traveled in feet? Write and solve an equation. b. About how fast was the boat traveling in miles per hour? Round your answer to the nearest hundredth.

A) a. 96,800 feet; b. 16.00 miles per hour
B) a. 9,600 feet; b. 1.60 miles per hour
C) a. 96,800 feet; b. 160.00 miles per hour
D) a. 960 feet; b. 0.16 miles per hour

Answer 1

The boat will travel 96,800 feet in 1 hour at a speed of 16 knots. The boat was traveling at 16 miles per hour.

Step-by-step explanation:

a. To find the distance the boat traveled in feet, we can use the conversion factor of 1 nautical mile = 6080 feet. So, if the boat travels at 16 knots for 1 hour, it will travel 16 nautical miles. Using the conversion factor, we can calculate the distance in feet: 16 nautical miles * 6080 feet/nautical mile = 96,800 feet.

b. To find the speed of the boat in miles per hour, we can simply use the given value of 16 knots, as 1 knot is equivalent to 1 nautical mile per hour. Therefore, the boat was traveling at 16 miles per hour.