Respuesta :
distance by bus --- x km
distance walking -- 35-x km
x/5 + (35-x)/60 = 1.5
times 60
12x + 35-x = 90
11x = 55
x = 5
he walked 5 km, and went 30 km by bus
check:
time walking = 5/5 = 1 hr
time on bus = 30/60 = 1/2 hr
total is 1.5 hrs
distance walking -- 35-x km
x/5 + (35-x)/60 = 1.5
times 60
12x + 35-x = 90
11x = 55
x = 5
he walked 5 km, and went 30 km by bus
check:
time walking = 5/5 = 1 hr
time on bus = 30/60 = 1/2 hr
total is 1.5 hrs
The total time will remain constant in any journey.
And the relation between speed and time must be known.
Thus, he walked 5 km and went 30 km by bus.
What is the linear system?
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Relation between speed, distance, and time.
[tex]\rm Average\ Speed = \dfrac{Distance}{Time}[/tex]
Given
Yochanan walked from home to the bus stop at an average speed of 5 km/h he immediately got on his school bus and traveled at an average speed of 60 km/h.
The total distance from his home to school is 35 kilometers, and the entire trip took 1.5 hours.
Let, he walked x km.
And bus traveled will be (35 - x).
We know that the total time will remain constant.
Total time = Time taken for walking + Time taken for traveling by bus
[tex]\rm T = T_1+T_2[/tex]
Then
[tex]\rm 1.5 = \dfrac{x}{5} + \dfrac{35-x}{60}[/tex]
Then solve this for x.
[tex]\begin{aligned} 1.5 &= \rm {\dfrac{x}{5} + \dfrac{35-x}{60}}\\\\\rm \dfrac{12x +35 - x}{60} &= 1.5\\\\\rm 11x +35 &= 90\\\\\rm 11x &= 55\\\\\rm x = 5\\\end{aligned}[/tex]
Thus, he walked 5 km and went 30 km by bus.
More about the linear system link is given below.
https://brainly.com/question/20379472
