the distance from cambridge to ottawa is 480 km. gerry is able to drive at 100km/h on highway 401, but can only average 60km/h on highway 7. if the trip takes 6h, how far did he travel on highway 401?

Question

anonymous · Answer

x  = 100t                    where x = distance travelled on 401, t = time on 401
480-x = 60(t-6)

solve for x and t

anonymous · Answer

sorry second equation is wrong
it should be

480-x = 60(6-t)

anonymous · Answer

substitute x=100t in the above
480 - 100t = 360 - 60t
120 = 40t
t = 3 hours
distance travelled on highwat 401 = 3 * 100 = 300 km