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This is a proportional problem where we can determine the distance traveled by the boat in 7 hours based on its known speed over 3 hours.

We can use the formula for direct proportionality:

\[
\frac{120 \text{ miles}}{3 \text{ hours}} = \frac{x \text{ miles}}{7 \text{ hours}}
\]

Now, solve for \(x\), the distance traveled in 7 hours:

1. First, calculate the speed of the boat:
\[
\frac{120}{3} = 40 \text{ miles per hour}
\]

2. Multiply the speed by the time (7 hours):
\[
40 \times 7 = 280 \text{ miles}
\]

So, the boat will sail **280 miles** in 7 hours.

Would you like a more detailed explanation or have any questions about this? Here are some related questions for further practice:

1. If the boat sails 200 miles in 5 hours, what is its speed in miles per hour?
2. How long will it take the boat to sail 500 miles at the same speed?
3. What distance will the boat travel in 9 hours at the same rate of speed?
4. If the boat slows down to 30 miles per hour, how far will it go in 6 hours?
5. What is the speed of the boat if it sails 210 miles in 3.5 hours?

**Tip:** When dealing with proportional relationships, setting up ratios can simplify solving problems quickly!

If a boat sails 120 miles in 3 hours, how many miles will it sail in 7 hours?

Learn how to solve a proportionality problem where a boat sails 120 miles in 3 hours. This solution covers key concepts of ratios and direct proportionality, calculating the distance for 7 hours. Suitable for students in Grades 5-7.

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