Question

Diane drove 737 miles in 11 hours. At the same rate, how many miles would she drive in 7 hours?

Answer 1

`\begin{array}{ccll} miles&hours\\ \cline{1-2} 737 & 11\\ x& 7 \end{array} \implies \cfrac{737}{x}~~=~~\cfrac{11}{7} \\\\\\ (737)(7)=11x\implies \cfrac{(737)(7)}{11}=x\implies 469=x`

Answer 2

She would drive 469 miles in 7 hours.


Calculate the speed in miles per hour (mph) by dividing distance by the total time. 737mi/7hr = 67 mph.
Diane was driving 67 miles PER hour. At this rate, multiply 67 miles by 7 hours to find the distance traveled.
67 x 7 = 469
She would drive 469 miles in 7 hours.