Question

A bicyclist rides 16 miles in 144 minutes. If she continues at this speed, how long will it take her to travel 36 miles?

Answer 1

So for this you want to set up a proportion, like this:
$\frac{16 miles}{144 minutes} = \frac{36 miles}{X minutes}\\Then, you want to solve for X by cross multiplying, like this: [tex]\frac{16 miles}{144 minutes} = \frac{36 miles}{X minutes} \\ 16 miles*X minutes = 144 minutes*36 miles$

After that, solve the equation for X to get your answer in number of minutes, like this:
$16 miles*X minutes = 144 minutes*36 miles \\ 16X= 5184 minutes \\ \frac{16x}{16}= \frac{5184 minutes}{16} \\ X= 324 minutes$

Answer 2

The correct answer is possibly 324