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Question: A blue whale calf swam from Miami, Florida, to Havana, Cuba, a distance of 228 miles, in 12 hours 22 minutes. Which is closest to the calf’s average rate of speed, in feet per hour?
To calculate the blue whale calf's average rate of speed in feet per hour, we will first need to convert the distance from miles to feet and the time from hours and minutes to just hours. 1. **Convert the distance to feet:** - There are 5,280 feet in a mile. - Distance in miles: 228 miles. - Distance in feet: \( 228 \, \text{miles} \times 5,280 \, \text{feet/mile} = 1,203,840 \, \text{feet} \). 2. **Convert the time to hours:** - The provided time is 12 hours and 22 minutes. - Convert the minutes to hours: \( 22 \, \text{minutes} ÷ 60 = \frac{22}{60} = 0.3667 \) hours. - Total time in hours: \( 12 + 0.3667 ≈ 12.3667 \) hours. 3. **Calculate the average speed:** - Average speed \( = \frac{\text{Total Distance}}{\text{Total Time}} \). - Average speed \( = \frac{1,203,840 \, \text{feet}}{12.3667 \, \text{hours}} ≈ 97,347.62 \, \text{feet/hour} \). Therefore, the average rate of speed of the blue whale calf is closest to 97,348 feet per hour.
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