brooklyngrace100
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Jim began a 123​-mile bicycle trip to build up stamina for a triathlete competition.​ Unfortunately, his bicycle chain​ broke, so he finished the trip walking. The whole trip took 6 hours. If Jim walks at a rate of 3 miles per hour and rides at 33 miles per​ hour, find the amount of time he spent on the bicycle.

Respuesta :

absor201

Jim spent 3.5 hours on the bicycle.

Step-by-step explanation:

Given,

Distance to cover = 123 miles

Speed at bicycle = 33 mph

Speed by walking = 3 mph

Time taken for whole trip = 6 hours

Let,

x be the hours Jim spent cycling

y be the hours Jim spent walking

According to given statement;

x+y=6     Eqn 1

33x+3y=123    Eqn 2

Multiplying Eqn 1 by 3

[tex]3(x+y=6)\\3x+3y=18\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](33x+3y)-(3x+3y)=123-18\\33x+3y-3x-3y=105\\30x=105[/tex]

Dividing both sides by 30

[tex]\frac{30x}{30}=\frac{105}{30}\\x=3.5[/tex]

Jim spent 3.5 hours on the bicycle.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/4703820
  • brainly.com/question/4706270

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