An object is moving at a speed of 78 feet per hour. Express this speed in miles per month. Round your answer to the nearest tenth.
The correct answer and explanation is:
To convert the speed of 78 feet per hour to miles per month, follow these steps:
- Convert feet to miles:
There are 5,280 feet in a mile. To convert 78 feet to miles, divide 78 by 5,280. 78÷5280=0.0148 miles per hour78 \div 5280 = 0.0148 \text{ miles per hour} - Convert hours to months:
A month typically has 30 days. Since there are 24 hours in a day, the total number of hours in a month is: 30×24=720 hours per month30 \times 24 = 720 \text{ hours per month} - Calculate miles per month:
To find the speed in miles per month, multiply the miles per hour by the number of hours in a month: 0.0148×720=10.656 miles per month0.0148 \times 720 = 10.656 \text{ miles per month} - Round to the nearest tenth:
Rounding 10.656 to the nearest tenth gives: 10.7 miles per month10.7 \text{ miles per month}
Thus, the speed of 78 feet per hour is approximately 10.7 miles per month.
Explanation:
The key to solving this problem is converting both units (feet to miles and hours to months) step by step. Starting with feet, we divide by 5,280 because that’s the number of feet in a mile. Then, we calculate the number of hours in a month to convert from hours to months. The final multiplication gives the answer in miles per month. Rounding the result ensures that the answer is given to the correct precision.