Fritz travels 1440 miles to work
Step-by-step explanation:
The rule of a distance that is traveled is D = V × T, where
- V is the speed
- T is the time
Assume that Fritz drives to work by x miles per minute
∵ Fritz drives to work his trip takes 36 minutes
∵ Fritz drives by x miles / minute
- Use the rule of the distance above
∴ The distance to work = x × 36 = 36x miles
∵ The train travels an average of 32 miles per hour faster than
his driving
- Add 32 to x to find the speed of the train
∴ The speed of the train = x + 32 miles/minute
∵ When he takes the train it takes 20 minutes
∴ The distance to work = 20 × (x + 32) = 20(x) + 20(32)
∴ The distance to work = 20x + 640 miles
Equate the two expressions of the distance to work to find x
∵ 36x = 20x + 640
- Subtract 20x from both sides
∴ 16x = 640
- Divide both sides by 16 to find x
∴ x = 40
∴ Fritz drive to work by 40 miles/minute
Substitute x in the first expression to find the distance
∵ The distance to work = 36x
∵ x = 40
∴ The distance to work = 36(40) = 1440 miles
Fritz travels 1440 miles to work
Learn more:
You can learn more about the rules of motion in brainly.com/question/9998060
#LearnwithBrainly
