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Yochanan walked from home to the bus stop at an average speed of
5
55
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
6060
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
3535 kilometers, and the entire trip took
1.5
1.51, point, 5 hours.
How many kilometers did Yochanan cover by walking, and how many kilometers did he cover by travelling on the bus?

Sagot :

Sqdancefanidn

Answer:

  • walking: 5 km
  • bus: 30 km

Step-by-step explanation:

Yochanan traveled a total of 35 km in 1.5 hours, part by walking 5 km/h, and part by riding a bus at 60 km/h. You want to know the distances covered in each mode of transportation.

Time and Distance

The relation between time, speed, and distance is ...

  distance = speed × time

Setup

Let t represent the time spent riding the bus. Then (1.5 -t) is the time spent walking. The total distance covered at the different speeds is the sum of products of speed and time:

  5(1.5 -t) + 60(t) = 35

Solution

Simplifying the equation gives ...

  7.5 +55t = 35

  55t = 27.5 . . . . . . . subtract 7.5

  t = 1/2 . . . . . . . . . divide by 55

  1.5-t = 1.5 -0.5 = 1 . . . . . time spent walking

Distances

The distance traveled by walking is ...

  (1 h)(5 km/h) = 5 km . . . . walking distance

The distance traveled by bus is ...

  (0.5 h)(60 km/h) = 30 km . . . . bus distance

Yochanan covered a distance of 35 km in 1.5 hours, some of it on foot at a speed of 5 km/h and some of it on a bus moving at 60 km/h.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Here,
Let the time taken by the Yochanan to go through the bus be t.
time is taken to the bus stop through walk = 1.5 - t
Now,
According to the question,
5(1.5 - t) + 60t = 35
7.5 - 5t + 60t = 35
t = 0.5

Now,
Distance traveled by walk = 5(1.5 - 0.5) = 5 Km
Distance traveled by bus = 35 - 5 = 30 Km

Thus, Yochanan covered a distance of 35 km in 1.5 hours, some of it on foot at a speed of 5 km/h and some of it on a bus moving at 60 km/h.

Learn more about arithmetic here:

brainly.com/question/14753192E

#SPJ1


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