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 35 miles per hour. The second​ ferry, the​ Bird, travels at 20 miles per hour. In how many hours will the two ferries be 75 miles​ apart? Type as a whole​ number

The two ferries leave at the same time and travel in the same direction. To determine how long it will take for them to be 75 miles apart, we focus on their relative speed.

The speed of the Cat is 35 mph, and the speed of the Bird is 20 mph. The relative speed between them is:

\[
35 \, \text{mph} - 20 \, \text{mph} = 15 \, \text{mph}
\]

Now, using the formula for time:

\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]

We want to know when the ferries will be 75 miles apart:

\[
\text{Time} = \frac{75 \, \text{miles}}{15 \, \text{mph}} = 5 \, \text{hours}
\]

So, the two ferries will be 75 miles apart in **5 hours**.

Would you like more details or have any questions?

Here are 5 related questions for practice:
1. If the distance between the city and the island is 140 miles, how long will it take the Bird to reach the island?
2. How far will the Cat have traveled in 2 hours?
3. If the two ferries were 30 miles apart initially, how long will it take for them to be 75 miles apart?
4. What would be the new relative speed if the Bird’s speed increased to 25 mph?
5. How far would the ferries be apart after 3 hours?

**Tip**: When solving relative speed problems, always focus on the difference between the speeds to find the time it takes for objects to be a certain distance apart.

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 35 miles per hour. The second​ ferry, the​ Bird, travels at 20 miles per hour. In how many hours will the two ferries be 75 miles​ apart?

Learn how to calculate the time it takes for two ferries, traveling at different speeds, to be 75 miles apart. This problem involves relative speed and time calculation, suitable for students in Grades 6-8.

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