Question

ravels to work if the train travels an average of 32 miles per hour faster than his driving. Assume that the train travels the same distance as the car.
When Fritz drives to work his trip takes 36 ​minutes, but when he takes the train it takes 20 minutes. Find the distance Fritz travels to work if the train travels an average of 32 miles per hour faster than his driving. Assume that the train travels the same distance as the car.
Fritz travels __miles to work.

Answer 1

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