Question

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.

Answer 1

The boat will have traveled 97,298.5984 feet in 1 hour. The boat was traveling at approximately 18.41 mph. Rounded to the nearest hundredth, the boat was traveling at approximately 18.41 mph.

Step-by-step explanation:

To find the distance traveled by the boat in feet, we need to convert the boat's speed from knots to feet per hour. Since 1 knot is equal to 1.15078 miles per hour, we can use this conversion to find the speed of the boat in miles per hour: 16 knots * 1.15078 mph/knot = 18.41328 mph.

To convert this speed to feet per hour, we can multiply by the conversion factor of 5280 feet/mile, resulting in a boat speed of 18.41328 mph * 5280 feet/mile = 97,298.5984 feet/hour.

Finally, we can calculate the distance traveled by the boat in feet by multiplying the boat's speed by the time traveled: 97,298.5984 feet/hour * 1 hour = 97,298.5984 feet.

To determine the speed of the boat in miles per hour, we divide the boat's speed in feet per hour by the conversion factor of 5280 feet/mile: 97,298.5984 feet/hour / 5280 feet/mile

= 18.41328 mph.

Rounded to the nearest hundredth, the boat was traveling at approximately 18.41 mph.