In one day Pauline Shannon drove front royal Virginia to Asheville ,North
Carolina,distance of 492 miles.For part of the trip she drove at a steady
rate of 50 miles per hour,but in some areas she drove at a steady rate of 35
miles per hour.If the total time of the trip was 11.13 hours,how far did she
travel at each speed.
D = RT, R = D/T, T = D/R
She drove x miles at 50 mph, and that took her T = D/R = x/50 hours
She drove 492-x miles at 35 mph, and that took her T = D/R = (492-x)/35 hours
Those two times must add up to 11.13 hours, So,
Solve that and get x = 341.5 miles at 50 mph,
Substitute that in 492-x, get 492-341.5 = 150.5 at 35 mph.
Edwin