Mathematics, 28.12.2019 07:31 falldownguyss

Yochanan walked from home to the bus stop at an average speed of 5 \text{km/h}km/hstart text, k, m, slash, h, end text. he immediately got on his school bus and traveled at an average speed of 60 \text{km/h}km/hstart text, k, m, slash, h, end text until he got to school. the total distance from his home to school is 35 kilometers, and the entire trip took 1.5, point, 5 hours. how many kilometers did yochanan cover by walking, and how many kilometers did he cover by travelling on the bus?

Answers: 2

Show answers

Answers

Answer from: Ryleetarver

Yochanan covered 5 kilometers by walking.

Yochanan covered 30 kilometers by travelling on the bus.

Step-by-step explanation:

Let w represent distance walked.

We have been given that the total distance from his home to school is 35 kilometers. So distance covered by the bus would be 35-w .

$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

Yochanan walked from home to the bus stop at an average speed of 5 km/h. So,

$\frac{\text{Distance walked}}{\text{ Walking speed}}=\frac{w}{5}$

He immediately got on his school bus and traveled at an average speed of 60 km/h until he got to school. So,

$\frac{\text{Distance covered by bus}}{\text{ Bus's speed}}=\frac{35-w}{60}$

We are told that the entire trip took 1.5 hours. We can represent our information as:

$\frac{w}{5}+\frac{35-w}{60}=1.5$

Let us solve for w.

$\frac{w}{5}*60+\frac{35-w}{60}*60=1.5*60$

12w+35-w=90

11w+35-35=90-35

11w=55

$\frac{11w}{11}=\frac{55}{11}$

w=5

Therefore, Yochanan covered 5 kilometers by walking.

Now, we will substitute w=5 in expression 35-w to find distance covered by travelling on the bus as:

$35-w\Rightarrow 35-5=30$

Therefore, Yochanan covered 30 kilometers by travelling on the bus.

Answer from: isaiahjohnson2594

the distance that Yochanan covered by walking is 5km/h

the distance that Yochanan covered by travelling on the bus is 30km/h

Step-by-step explanation:

Let x represent the distance that Yochanan covered by walking.

Let y represent the distance that Yochanan covered by travelling on the bus.

The total distance from his home to school is 35 kilometers. This means that

x + y = 35

Distance travelled = speed × time.

time = Distance/speed

Yochanan walked from home to the bus stop at an average speed of 5km/h.

Time it took him to walk to the bus top would be

t = x/5 hours

He immediately got on his school bus and traveled at an average speed of 60 km/h.

Time taken to travel on the bus would be

t = y/60 hours

Since the total time spent on the trip is 1.5hours, then

x/5 + y/60 = 1.5

12x + y = 90 - - - - - - - - --1

Substituting x = 35 - y into equation 1, it becomes

12(35 - y) + y = 90

420 - 12y + y = 90

- 12y + y = 90 - 420

- 11y = - 330

y = -330/-11 = 30

Substituting y = 30 into x = 35 - y, it becomes

x = 35 - 30 = 5

Answer from: Quest

The answer for you question is b
Shanti is making a patchwork quilt. each piece of fabric has a black star on it. she uses the grid s

Answer from: Quest

the correct answer is c

good luck love

Another question on Mathematics

Mathematics, 21.06.2019 14:00

Plz need answer now will mark which situations represent linear functions? check all that apply. a)the temperature rises and falls over the course of a day. temperature is a function of time. b)a baseball is hit into the outfield. the height of the ball is a function of time. c)a car goes 55 mph on the highway. distance is a function of time. d)a child grew 2 inches this year and 1 inch last year. height is a function of time. e)a movie director makes 2 movies per year. the number of movies is a function of the years.

Answers: 3

Answer

Mathematics, 22.06.2019 00:00

Stefanie is painting her bedroom. she can paint 2 1/3 square feet in 4/5 of an hour. how many square feet can she paint in one hour?

Answers: 2

Answer

Mathematics, 22.06.2019 01:00

Which of the following statements is true? a. the irrational number system is not closed under multiplication, because the product of two irrational numbers is always a rational number. b. the irrational number system is not closed under multiplication, because the product of two irrational numbers is not always an irrational number. c. the irrational number system is closed under multiplication, because the product of two irrational numbers is always an irrational number. d. the irrational number system is closed under multiplication, because the product of two irrational numbers is always a rational numbers. reset submit

Answers: 1

Answer

Mathematics, 22.06.2019 02:00

Rewrite the expression in z to the n power. the expression i was given is: 1 over z to the negative 1 half power.

Answers: 2

Answer

You know the right answer?

Yochanan walked from home to the bus stop at an average speed of 5 \text{km/h}km/hstart text, k, m,...

Questions