Ask question

Ask question

All categories

3 years ago

15

When Fritz drives to work his trip takes 36 minutes, but when he takes the train it takes 20 minutes. Find the distance Fritz t

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.

1 answer:

blsea [12.9K]3 years ago

3 0

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

You might be interested in

2×2×2+10-4÷4+3×3×3 can y'all please help this is due tomorrow

baherus [9]

Then you'll need to get started on it pretty soon.
Just take it slow and easy, and remember your order of operations (or PEMDAS).
First look through it and do any multiplications and divisions that you find.
Then do the additions and subtractions.
I just gave it a quick scan and I came up with 26. I dont know if it's correct.
Get to work. You can do this !

7 0

3 years ago

Use partial fractions to find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constan

BARSIC [14]

Answer:

125/6(In(x-25)) - 5/6(In(x+5))+C

Step-by-step explanation:

∫x2/x1−20x2−125dx

Should be

∫x²/(x²−20x−125)dx

First of all let's factorize the denominator.

x²−20x−125= x²+5x-25x-125

x²−20x−125= x(x+5) -25(x+5)

x²−20x−125= (x-25)(x+5)

∫x²/(x²−20x−125)dx= ∫x²/((x-25)(x+5))dx

x²/(x²−20x−125) =x²/((x-25)(x+5))

x²/((x-25)(x+5))= a/(x-25) +b/(x+5)

x²/= a(x+5) + b(x-25)

Let x=25

625 = a30

a= 625/30

a= 125/6

Let x= -5

25 = -30b

b= 25/-30

b= -5/6

x²/((x-25)(x+5))= 125/6(x-25) -5/6(x+5)

∫x²/(x²−20x−125)dx

=∫125/6(x-25) -∫5/6(x+5) Dx

= 125/6(In(x-25)) - 5/6(In(x+5))+C

4 0

4 years ago

Mrs. Shinavar has 3 pairs of pants, 10 shirts, and 4 pairs of shoes. How many different

allochka39001 [22]

Answer:

20 different outfit she can make

Step-by-step explanation:

girls always do this when going out mix n match

8 0

3 years ago

Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.

dsp73

Answer:

The required sequence is $a_n=20(\frac{1}{2})^{n-1}$ . The average rate of change from n = 1 to n = 3 is -7.5.

Step-by-step explanation:

From the given graph it is clear that the sequence is a GP because the all terms are half of their previous terms.

Here, $a_2=10,a_3=5,a_4=2.5,a_5=1.25$

$r=\frac{a_3}{a_2}=\frac{5}{10}=\frac{1}{2}$

The common ratio of GP is 1/2.

$r=\frac{a_2}{a_1}$

$\frac{1}{2}=\frac{10}{a_1}$

$a_1=20$

The first term of the sequence is 20.

The formula for sequence is

$a_n=a(r)^{n-1}$

Where a is first term and r is common difference.

The required sequence is

$a_n=20(\frac{1}{2})^{n-1}$

The formula for rate of change is

$m=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

The average rate of change from n = 1 to n = 3 is

$m=\frac{f(3)-f(1)}{3-1}$

$m=\frac{5-20}{3-1}$

$m=\frac{-15}{2}=-7.5$

Therefore the required sequence is $a_n=20(\frac{1}{2})^{n-1}$ . The average rate of change from n = 1 to n = 3 is -7.5.

8 0

3 years ago

Read 2 more answers

What happens if you double 15?

Andrej [43]

Answer:

It becomes 30

Step-by-step explanation:

When you double a number, it’s increases to two of itself .

So double of 15 means 15 x 2

= 30

8 0

3 years ago

Read 2 more answers