Answer:
5.93 miles, assuming an average calorie burn rate of 4 calories/minute.
Explanation:
What is the rate of calorie burn? We need a rate expressed in calories/min of calories/mile.
As an example, let's assume the following burn rate:
"The calorie burn rate for an average person walking at a speed of 3 miles/hour is 4 calories per minute. This means that a 150-pound person would burn about 100 calories during a 30-minute walk at 3 mph."
If this is an average person (150 pounds), walking 3 miles/hour would burn 4 calories/minute.
The total calories, C, burned as a function of time (t, in minutes) would be:
Total (C) = (4 cal/min)*t
If we want to burn 475 calories (total), set up the equation with total calories burned and leave the time, t, as the variable:
Total (C) = (4 cal/min)*t
475 cal = (4 cal/min)*t
t = (475 cal)/(4 cal/min)
t = 118.8 minutes
Now we can find the number of miles, x, that are walked in this time at 3 miles/hour:
(Time)*(Speed) = Distance, x
(118.6 min)*(3 miles/hr) = x miles
The units need to be changes since we have both minutes and hours,
A conversion factor may be used. Since 60 min = 1 hour, we can write that as (1 hour)/(60 min).
Put that conversion factor into the equation to leave only hours:
(118.6 min)*(3 miles/hr)((1 hour)/(60 min) = x miles
Minutes and hours cancel, leaving just miles, the desired unit.
x miles = (118.6 min)*(3 miles/hr)((1 hour)/(60 min)
x miles = 5.93 miles.