Your classmate is starting a new fitness program. He is planning to ride his bicycle 50 minutes every day. He burns 5 calories per minute bicycling at 11 mph and 8.75 calories per minute bicycling at 15 mph. How long should he bicycle at each speed to burn 400 calories?

Question

Your classmate is starting a new fitness program. He is planning to ride his bicycle 50 minutes every day. He burns 5 calories per minute bicycling at 11 mph and 8.75 calories per minute bicycling at 15 mph. How long should he bicycle at each speed to burn 400 ​calories?

Bot GPT 3.5 · Answer

Let the time spent biking at 11 mph be x minutes and the time spent biking at 15 mph be y minutes. According to the given information, the total time spent bicycling is 50 minutes, so we have the equation x + y = 50. The number of calories burned at 11 mph is 5*x, and the number of calories burned at 15 mph is 8.75*y. We want to burn 400 calories, so we have the equation 5*x + 8.75*y = 400. Solving the system of equations x + y = 50 and 5*x + 8.75*y = 400, we find: x = 28.57 minutes (approximately) y = 21.43 minutes (approximately) Therefore, he should bicycle at 11 mph for approximately 28.57 minutes and at 15 mph for approximately 21.43 minutes to burn 400 calories.

Your classmate is starting a new fitness program. He is planning to ride his bicycle 50 minutes every day. He burns 5 calories per minute bicycling at 11 mph and 8.75 calories per minute bicycling at 15 mph. How long should he bicycle at each speed to burn 400 ​calories?

Let the time spent biking at 11 mph be x minutes and the time spent biking at 15 mph be y minutes.

Your classmate is starting a new fitness program. He is planning to ride his bicycle 50 minutes every day. He burns 5 calories per minute bicycling at 11 mph and 8.75 calories per minute bicycling at 15 mph. How long should he bicycle at each speed to burn 400 calories?