Jackson and ginger are both learning to ride a bike. Jackson can travel y=4x miles, and ginger travels y=3x+15. When will the distance traveled in miles (y) and the minutes spent biking (x) be the same for both friends?

Sagot :

The time at which the distance of both the riders will be same is required.

At 5 minutes they both would have covered 20 miles.

Intersecting lines

The given lines are [tex]y=4x[/tex] and [tex]y=3x+5[/tex]

So,

[tex]4x=3x+5\\\Rightarrow 4x-3x=5\\\Rightarrow x=5[/tex]

Finding [tex]y[/tex]

[tex]y=4x\\\Rightarrow y=4\times 5=20[/tex]

At [tex]x=15[/tex] the distance covered by both riders is [tex]y=20[/tex]

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