We know a speed boat can travel at 33 knots. How long (in minutes) will it take to cross the Chesapeake Bay at a place where the bay is 24 miles across? 1 knot = 1 nautical mile per hour; 1 nautical mile = 6076 feet.
The correct answer and explanation is :
Answer:
The time it takes for the speed boat to cross the Chesapeake Bay, which is 24 miles across, is 41.5 minutes.
Explanation:
To solve this, we first convert all necessary units to be consistent:
- Understand the speed in miles per hour:
- The speed of the boat is given as 33 knots.
- Since 1 knot = 1 nautical mile per hour and 1 nautical mile = 6076 feet, we first convert nautical miles to statute miles.
- 1 nautical mile ≈ 1.151 statute miles
- Thus, the boat’s speed in statute miles per hour:
[
33 \times 1.151 = 37.98 \text{ miles per hour}
]
- Find the time required to travel 24 miles:
- Using the formula:
[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
]
[
\text{Time} = \frac{24}{37.98} = 0.632 \text{ hours}
] - Convert hours to minutes:
[
0.632 \times 60 = 41.5 \text{ minutes}
]
Final Answer:
The speed boat will take 41.5 minutes to cross the Chesapeake Bay at the given location.
