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A whale is swimming due north at a speed of 3030 miles per hour. Just 55 miles away, a whale-watching tour boat is traveling south, directly toward the whale, at a speed of 4646 miles per hour. How long will it be before they meet? If necessary, round your answer to the nearest minute. __\_\_ hours and __\_\_ minutes

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Q. A whale is swimming due north at a speed of 3030 miles per hour. Just 55 miles away, a whale-watching tour boat is traveling south, directly toward the whale, at a speed of 4646 miles per hour. How long will it be before they meet? If necessary, round your answer to the nearest minute. __\_\_ hours and __\_\_ minutes
  1. Calculate Speed: Calculate the combined speed of the whale and the boat.\newlineSpeed of whale = 30 mph30 \, \text{mph}, Speed of boat = 46 mph46 \, \text{mph}.\newlineCombined speed = Speed of whale + Speed of boat = 30 mph+46 mph=76 mph30 \, \text{mph} + 46 \, \text{mph} = 76 \, \text{mph}.
  2. Determine Time: Determine the time it will take for the whale and the boat to meet.\newlineDistance between them = 55 miles.\newlineTime = Distance / Combined Speed = 5 miles76 mph≈0.0658\frac{5 \text{ miles}}{76 \text{ mph}} \approx 0.0658 hours.
  3. Convert to Minutes: Convert the time from hours to minutes.\newlineTime in minutes = 0.06580.0658 hours ×60\times 60 minutes/hour ≈3.948\approx 3.948 minutes.\newlineRounded to nearest minute = 44 minutes.

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