Question

Please help :)

The total distance was 540 miles. George drove part way going 40mph on a motorcycle and part way going 60 mph in a car. If the total time was 11 hours, what distance did George cover in the motorcycle?

Answer 1

6 hours

Explanation:

total: 540 mi

drove motorcycle: 40mph

drove car: 60 mph

11 hours

equation for miles: 540=40x+60y

equation for time: 11=x+y

11=x+y

-x -x

y=-x+11 <---- plug in

540=40x+60(-x+11)

540=40x-60x+660

-660 -660

-120=-20x

/-20 /-20

x=6

6 hours