To find out how long it will take for the whale and the boat to be 5 miles apart, we can first determine their relative velocity since they are moving in opposite directions.
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Calculate the relative speed:
- The boat is moving at 44 miles per hour.
- The whale is swimming at 19 miles per hour.
- Since they are moving in opposite directions, we add their speeds: \[ \text{Relative speed} = 44 + 19 = 63 \text{ miles per hour} \]
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Set up the equation to find time: We want to find out how much time \( t \) (in hours) it takes for them to be 5 miles apart. We can use the formula: \[ \text{Distance} = \text{Relative Speed} \times t \] Rearranging this gives: \[ t = \frac{\text{Distance}}{\text{Relative Speed}} = \frac{5}{63} \]
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Calculate the time: \[ t = \frac{5}{63} \text{ hours} \]
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Convert hours to minutes: To convert hours into minutes, multiply by 60: \[ t = \frac{5}{63} \times 60 \approx 4.76 \text{ minutes} \]
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Round to the nearest minute: Rounding 4.76 to the nearest minute gives us approximately 5 minutes.
Thus, the answer is:
- Time until they are 5 miles apart: 0 hours and 5 minutes.