# How solve it?

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Camila begins to exercise in a new gym where the coach explains that the work consisted in 5 minutes of warm-up 25 trot and 15 days in the eliptca machine .... at the end of each week of training should increase 3 minutes of jogging and 5 of elliptical machine in how many weeks will the trotting time be equal to the time that camila uses the elliptical machine?

A) 5

B) 4

C) 6

D) 7

THANK YOU

Camila begins to exercise in a new gym where the coach explains that the work consisted in 5 minutes of warm-up 25 trot and 15 days in the eliptca machine .... at the end of each week of training should increase 3 minutes of jogging and 5 of elliptical machine in how many weeks will the trotting time be equal to the time that camila uses the elliptical machine?

A) 5

B) 4

C) 6

D) 7

THANK YOU

##### 1 Answer

After 5 weeks.

#### Explanation:

I'm assuming that the elliptical workout time is 15 mins and not 15 days (cause that's a looong time).

You need to set up two equations. They will be of the form, time of each workout (t) as a function of number of weeks (x).

The trotting time starts off as 25 mins, then increases by 3 mins per week. In other words, 25 + 3 times the number of weeks. So the equation looks like this:

In the same way, the time of the elliptical machine is 15 mins plus 5 mins per week:

To solve for

Then solve for

The workout time will be given by substituting the answer for

You can see the answer by graphing the two straight lines and seeing where they intersect (5,40):