Traveling at 55 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 310 miles from Boston to Syracuse?
These are my options:
A. 6
B. 338
C. 365
D 3,300
I'm having trouble on figuring out where to start...
Thank you in advanced for your spent time.
Note that \(\frac{\text{55 miles}}{\text{1 hour}}\ =\ \frac{\text{55 miles}}{\text{60 minutes}}\)
Let x be the number of minutes it takes.
\( \frac{\text{55 miles}}{\text{60 minutes}}\cdot x\text{ minutes}\ =\ 310\text{ miles}\\~\\ x\text{ minutes}\ =\ 310\text{ miles}\cdot\frac {\text{60 minutes}}{\text{55 miles}}\\~\\ x\text{ minutes}\ =\ 310\cdot\frac {60}{55}\text{ minutes}\\~\\ x\text{ minutes}\ =\ \frac{18600}{55}\text{ minutes}\\~\\ x\text{ minutes}\ \approx\ 338\text{ minutes} \\~\\ x\ \approx\ 338\)
__