contestada

Tyler and Sophia went on a 20-kilometer bike ride that lasted 3 hours. Their walking speed was 4-kilometers per hour. Their riding speed was 12-kilometers per hour. How much time did they spend walking?

Respuesta :

absor201

Tyler and Sophia spent 2 hours on walking.

Step-by-step explanation:

Given,

Walking speed = 4 kmph

Riding speed = 12 kmph

Total distance = 20 kilometer

Total time spent = 3 hours

Let,

Time spent on walking = x

Time spent on riding = y

According to given statement;

x+y=3    Eqn 1

4x+12y=20    Eqn 2

Multiplying Eqn 1 by 4

[tex]4(x+y=3)\\4x+4y=12\ \ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](4x+12y)-(4x+4y)=20-12\\4x+12y-4x-4y=8\\8y=8[/tex]

Dividing both sides by 8

[tex]\frac{8y}{8}=\frac{8}{8}\\y=1[/tex]

Putting y=1 in Eqn 1

[tex]x+1=3\\x=3-1\\x=2[/tex]

Tyler and Sophia spent 2 hours on walking.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/10771256
  • brainly.com/question/10772249

#LearnwithBrainly

Otras preguntas