Question

Two high-speed ferries leave at the same time from a city to go to the same island. The first ferry, the Cat, travels at 37 miles per hour. The second ferry, the Bird, travels at 27 miles per hour. In how many hours will the two ferries be 40 miles apart?

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Answer to a math question Two high-speed ferries leave at the same time from a city to go to the same island. The first ferry, the Cat, travels at 37 miles per hour. The second ferry, the Bird, travels at 27 miles per hour. In how many hours will the two ferries be 40 miles apart?

Expert avatar
Neal
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103 Answers
1. Let the time taken for the ferries to be 40 miles apart be t hours.
2. The distance traveled by the Cat in t hours is given by: d_1 = 37t.
3. The distance traveled by the Bird in t hours is given by: d_2 = 27t.
4. The difference in distances between the two ferries is 40 miles, so:
37t - 27t = 40.
5. Simplifying the equation: 10t = 40.
6. Solving for t:
t = \frac{40}{10} = 4 \text{ hours}.
7. So, the two ferries will be 40 miles apart after t = 4 \text{ hours}.

Answer: t = 4 \text{ hours}

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