You’ve ridden in a car enough times to know it travels a specific rate, such as miles per hour, to reach its destination. You’ve also seen the speed limit signs designating the maximum rate allowed for a particular stretch of road. If you look up directions to a place you want to go, then you’ll find the distance between your current location and your destination and the time it will take you to get there. These calculations are based on the simple formulas for distance, rate, and time.

The formulas for rate and time are just variations of the distance formula. In the distance formula, you use rate (R) and time (T) to find distance (D). To find rate, you simply need to use time and distance; to find time, you use rate and distance. If you can remember the distance formula, then you can easily find the rate formula and time formula:

- A train travels from City A to City B at a rate of 60 miles per hour. If the train arrives at City B in exactly 1 hour, what is the distance (in miles) between the two cities?
- Kayla’s school is 2 miles from her house. If she walked to school in 30 minutes, at what rate (in mph) did she walk?
- A truck driver drives 350 miles on a highway with a posted speed limit of 70 miles per hour. If the truck travels exactly the speed limit the whole time, how long will it take to reach the end?

**Answers to Practice Problems**

- 60 miles
- 4 miles per hour
- 5 hours

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