You have 40 minutes to exercise at the gym and you want to burn 300 calories. You can
use the elliptical trainer which burns calories at 8 calories a minute, and the bicycle,
which burns 6 calories a minute. How much time must you spend on each device to burn
300 calories.

Respuesta :

Answer:

20 minutes

Step-by-step explanation:

I would say 20 minutes on each because one you going to double burn calories on one of them. and the second one you probably going to Triple or quadruple burn the calories on the the next one . it's about how you move at your pace .

We want to write and solve a system of equations to see how much time you should spend on each device. We will see that you must spend 10 minutes on the bicycle and 30 minutes on the elliptical trainer.

Let's define the variables:

  • x = time, in minutes, you spend on the elliptical trainer.
  • y = time, in minutes, you spend on the bicycle.

We know that you have 40 minutes to exercise, so we have:

x + y = 40

We also know that you want to burn 300 cal, so we have that:

x*8 + y*6 = 300

Now we have the system of equations:

x + y = 40

x*8 + y*6 = 300

We will solve it by substitution.

We rewrite the first equation as:

x = 40 - y

And now replace that in the other equation:

(40 - y)*8 + y*6 = 300

320 - 2*y = 300

320 - 300 = 2*y

20/2 = y = 10

So you must spend 10 minutes on the bicycle, and the other 30 minutes on the elliptical trainer.

If you want to learn more, you can read:

https://brainly.com/question/12895249

RELAXING NOICE
Relax

Otras preguntas