Question

the center of a 400 - mile wide hurricane is 550 miles from the kennedy space center at 1:00 pm on tuesday, and is currently approaching at 25 miles per hour. if the storm maintains its current conditions, at what time to the nearest hour on wednesday will the leading edge of the hurricane reach the kennedy space center?
2:00 am
3:00 am
4:00 am
6:00 am
8:00 am
note: diagram not drawn to scale
question help: video
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Explanation:

Step1: Calculate distance to leading - edge

The hurricane is 400 miles wide. The center is 550 miles away, so the distance to the leading - edge is $d = 550-\frac{400}{2}=550 - 200=350$ miles.

Step2: Calculate time to reach

Using the formula $t=\frac{d}{v}$, where $v = 25$ miles per hour and $d = 350$ miles. So $t=\frac{350}{25}=14$ hours.

Step3: Determine arrival time

The hurricane starts at 1:00 pm on Tuesday. 14 hours after 1:00 pm on Tuesday is 3:00 am on Wednesday.

Answer:

3:00 am