Question

Heather spent a total of 70 minutes working out at the gym. She spent 20 minutes longer running on the treadmill than she spent lifting weights. When t represents the time Heather spent running on the treadmill and w represents the time she spent lifting weights, which system of equations represents this situation

Answer 1

Answer:

t = w + 20

and

t + w =70

Step-by-step explanation:

t is the time she spent on treadmill

w is the time she spent on lifting weights

1st equation

she spent 20 min more on treadmill than in lifting weights

2nd equation

total time she spent on treadmill (t) + on lifting weights (w) = 70 min.

by the way she spent 25 min on lifting weights and 45 min on treadmill.

hope helps!

Answer 2

Answer:

$t+w=70$ and $t=20+w$ are the system of equations for the given situation. Time spent on treadmill is 45 minutes and on lifting weights is 25 minutes.

Step-by-step explanation:

It is given that heather spent a total of 70 minutes working out at the gym.

Time spent on treadmill is 20 minutes longer than lifting weights.

It is told that t represents the time Heather spent running on the treadmill and w represents the time she spent lifting weights.

It is asked to find the system of equations that represent the given situation.

The total time is 70 minutes.

So, $t+w=70$           ...........(1)

It is also told that the time spent on treadmill is 20 minutes longer than lifting weights. This gives us $t=20+w$     ...........(2)

Substituting (2) in (1)

$20+w+w=70$

$20+2w=70$

$2w=70-20$

$2w=50$

$w=25$

$t+w=70$

$t=70-25=45$

Time spent on treadmill is 45 minutes.

Time spent on lifting weights is 25 minutes.

To know more about system of equations go to the following link.

https://brainly.in/question/54722545

To know more about equation go to the following link.

https://brainly.in/question/9605334

#SPJ3