Suav drove 296 miles in 8 hours. If he continued at the same rate, how far would he travel in 10 hours?
Understand the Problem
The question is asking for the distance Suav would travel if he continues at the same speed for 10 hours, based on his previous travel of 296 miles in 8 hours. We will first calculate his speed and then use it to find the distance for 10 hours.
Answer
Suav would travel $370$ miles in 10 hours.
Answer for screen readers
Suav would travel 370 miles in 10 hours.
Steps to Solve
- Calculate Suav's Speed
To find Suav's speed, divide the total distance traveled by the total time taken.
[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{296 \text{ miles}}{8 \text{ hours}} = 37 \text{ miles per hour} ]
- Calculate the Distance for 10 Hours
Now, to find how far Suav would travel in 10 hours at the same speed, multiply his speed by the time.
[ \text{Distance} = \text{Speed} \times \text{Time} = 37 \text{ miles per hour} \times 10 \text{ hours} = 370 \text{ miles} ]
Suav would travel 370 miles in 10 hours.
More Information
Suav's consistent speed of 37 miles per hour allowed him to cover a significant distance in a relatively short amount of time. If he maintained this speed for longer trips, he could travel even farther!
Tips
- Miscalculating speed by incorrectly dividing distance and time. Always double-check the values used in the calculation.
- Forgetting to multiply the speed by the correct time when calculating the distance.
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