Jacob spends 60 minutes in the gym every day doing freehand exercises and running on the treadmill. He runs on the treadmill for 30 minutes longer than he does freehand exercises
Is it possible for Jacob to have spent 40 minutes running on the treadmill if he spends exactly 60 minutes total at the gym and runs on the treadmill for 30 minutes longer than he does freehand exercises? Explain your reasoning
No, it is not possible for Jacob to have spent 40 minutes running on the treadmill if he spends exactly 60 minutes total at the gym and runs on the treadmill for 30 minutes longer than he does freehand exercises.
If Jacob spends x minutes doing freehand exercises, then he spends (x + 30) minutes running on the treadmill.
Therefore, his total time spent in the gym can be expressed as:
x + (x + 30) = 2x + 30
Since he spends a total of 60 minutes at the gym, we can write:
2x + 30 = 60
Solving for x, we get:
2x = 30
x = 15
So, Jacob spends 15 minutes doing freehand exercises and (15+30) = 45 minutes running on the treadmill. Therefore, it is not possible for him to have spent 40 minutes running on the treadmill.
No, it is not possible for Jacob to have spent 40 minutes running on the treadmill if he spends exactly 60 minutes total at the gym and runs on the treadmill for 30 minutes longer than he does freehand exercises.
If we let x be the time Jacob spends on freehand exercises, then the time he spends on the treadmill is x + 30.
According to the given information, Jacob spends a total of 60 minutes in the gym.
This means that the sum of the time spent on freehand exercises and the time spent on the treadmill is 60 minutes:
x + (x+30) = 60
Simplifying this equation:
2x + 30 = 60
Subtracting 30 from both sides:
2x = 30
Dividing both sides by 2:
x = 15
So, Jacob spends 15 minutes on freehand exercises, which means he spends (15 + 30) = 45 minutes on the treadmill, not 40 minutes as stated in the question.