Answer:
The total distance covered is 15.6 miles.
Step-by-step explanation:
One day you warm up for 15 minutes at a pace of 0.1 miles per 25 seconds.
The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. If the relationship between the magnitudes is direct, like in this case, the direct rule of three can be applied as follow:
a ⇒ b
c ⇒ x
Then [tex]x=\frac{c*b}{a}[/tex]
First, the simple rule of three can be applied in the following way: if 1 minute equals 60 seconds, 15 minutes equals how many seconds?
[tex]seconds=\frac{15 minutes*60 seconds}{1 minute}[/tex]
seconds= 900
So now you can apply the following rule of three: if in 25 seconds you travel 0.1 miles, in 900 seconds how many miles do you travel?
[tex]distance=\frac{900 seconds*0.1 miles }{25 seconds}[/tex]
distance= 3.6 miles
If you then ride hard for 12 miles, the total distance traveled will be the sum of both:
3.6 miles + 12 miles = 15.6 miles
The total distance covered is 15.6 miles.
