Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour. What is Nina's rate in miles per hour if there are 5,280 feet in a mile?

Which girl bikes faster?

Question

Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour. What is Nina's rate in miles per hour if there are 5,280 feet in a mile?


Which girl bikes faster?

tkhunny · Answer

Dimensional Analysis

$\dfrac{63360\;ft}{3400\;sec}\cdot\dfrac{1\;mile}{5280\;ft}\cdot\dfrac{3600\;sec}{1\;hr} = $ What $\dfrac{miles}{hour}$?

anonymous · Answer

Thanks!

tkhunny · Answer

What did you get?  Can you do other transformations?

anonymous · Answer

$$\frac{63360}{\frac{5280\ 3400}{3600}}=\frac{216}{17}=12.7059 \text{ mph} $$
Sorry, LaTex is not reproducing the text that it was fed.

anonymous · Answer

I got 12.7. And it was one of my answer choices,

anonymous · Answer

Thank you too robtobey!

anonymous · Answer

Very good.  Congratulations.