Answer :
We are given that the total gym time is 2 hours and 15 minutes. First, convert this time entirely into minutes:
[tex]$$
2 \text{ hours} \times 60 \text{ minutes/hour} + 15 \text{ minutes} = 120 + 15 = 135 \text{ minutes}.
$$[/tex]
Let [tex]$x$[/tex] be the time spent on strength training. According to the problem, the cardio session lasts twice as long as the strength training session. Thus, the time for the cardio session is [tex]$2x$[/tex].
The total workout time is the sum of the two sessions:
[tex]$$
x + 2x = 3x.
$$[/tex]
We know this total is 135 minutes, so we set up the equation:
[tex]$$
3x = 135.
$$[/tex]
To solve for [tex]$x$[/tex], divide both sides by 3:
[tex]$$
x = \frac{135}{3} = 45 \text{ minutes}.
$$[/tex]
Since the cardio session is twice as long, we calculate:
[tex]$$
\text{Cardio time} = 2x = 2 \times 45 = 90 \text{ minutes}.
$$[/tex]
Thus, the athlete’s cardio session lasts [tex]$\boxed{90 \text{ minutes}}$[/tex].
[tex]$$
2 \text{ hours} \times 60 \text{ minutes/hour} + 15 \text{ minutes} = 120 + 15 = 135 \text{ minutes}.
$$[/tex]
Let [tex]$x$[/tex] be the time spent on strength training. According to the problem, the cardio session lasts twice as long as the strength training session. Thus, the time for the cardio session is [tex]$2x$[/tex].
The total workout time is the sum of the two sessions:
[tex]$$
x + 2x = 3x.
$$[/tex]
We know this total is 135 minutes, so we set up the equation:
[tex]$$
3x = 135.
$$[/tex]
To solve for [tex]$x$[/tex], divide both sides by 3:
[tex]$$
x = \frac{135}{3} = 45 \text{ minutes}.
$$[/tex]
Since the cardio session is twice as long, we calculate:
[tex]$$
\text{Cardio time} = 2x = 2 \times 45 = 90 \text{ minutes}.
$$[/tex]
Thus, the athlete’s cardio session lasts [tex]$\boxed{90 \text{ minutes}}$[/tex].
