Question

your classmate is starting a new fitness program. he is planning to ride his bicycle 60 minutes every day. he burns 8 calories per minute bicycling at 11 mph and 11.75 calories per minute bicycling at 15 mph. how long should he bicycle at each speed to burn 600 calories per

Answer 1

Your classmate should bicycle for 28 minutes at 11 mph and 32 minutes at 15 mph in a 60-minute session to burn a total of 600 calories.

Step-by-step explanation:

To calculate how long your classmate should bicycle at each speed to burn 600 calories, we can set up a system of equations based on the given information. Let's define x as the time in minutes spent bicycling at 11 mph and y as the time in minutes spent bicycling at 15 mph. The total time bicycling should be 60 minutes:

• x + y = 60

Next, we know the calorie burn rates for each speed, so we can set up another equation to represent the total calories burned:

• 8x + 11.75y = 600

Solving this system of equations will give us the time spent at each speed:

1. Isolate one of the variables in the first equation. For instance, y = 60 - x.
2. Substitute this expression for y into the second equation: 8x + 11.75(60 - x) = 600.
3. Simplify and solve for x: 8x + 705 - 11.75x = 600, which simplifies to -3.75x = -105, and dividing both sides by -3.75 gives x = 28.
4. Substitute x back into y = 60 - x: y = 60 - 28, so y = 32.

Therefore, your classmate should bicycle 28 minutes at 11 mph and 32 minutes at 15 mph to burn 600 calories.