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question-
jack jogs and rides his bike for a total of 75 minutes every day. he rides his bike 15 minutes more than he jogs.


part a: write a pair of linear equations to show the relationship between the number of minutes jack jogs (x) and the number of minutes he rides his bike (y) every day.


part b: how much time does jack spend jogging every day?


part c: is it possible for jack to have spent 60 minutes riding his bike every day? explain your reasoning.

Respuesta :

The answers have been shown below.

To find the answers:

Questions regarding the time spent by Jack jogging and bike riding are needed to be answered.

(A) The equations are [tex]x+y=75, y=15+x[/tex]

Time spent jogging is 30 minutes

The total time would be [tex]45+60=105[/tex] minutes which is not equal to 75 minutes.

(B) Let [tex]x[/tex] be the time spent jogging.

[tex]y[/tex] be the time spent bike riding.

[tex]x+y=75\\y=15+x\\x+15+x=75\\2x+15=75\\x=\frac{75-15}{2} =30[/tex]

Time spent jogging is 30 minutes.

[tex]y=60\\x+y=75[/tex]

(C) If he rides his bike 15 minutes longer than he jogs then he would have to jog [tex]60-15 = 45[/tex] minutes.

Therefore, the total time would be [tex]45+60=105[/tex] minutes which is not equal to 75 minutes.

Know more about equations here:

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