Traveling at 55 mph, how many minutes, rounded to the nearest whole number, does it take to drive 310 miles from Boston to Syracuse?
(310 mi)/(55 mph)*(60 min / 1 hr) = 338.181818 . . . .
rounds to 338 minutes
we know that
\(speed=\frac{distance}{time}\)
Solve for the time
\(time=\frac{distance}{speed}\)
in this problem
\(speed=55\frac{miles}{hour} \\ \\ distance=310 miles\)
substitute in the formula above
\(time=\frac{310}{55} \\ \\ time=5.64\ hours\)
convert to minutes
\(5.64*60=338.4\ minutes =338\ minutes\)
therefore
the answer is
\(338\ minutes\)