Question

Donna took twice as long to drive 720 miles and Maple took to drive 200 miles. Find the rates and ties of both if Donna's speed exceeded that of Maple by 40 miles per hour

Answer 1

Donna traveled for 8 hours at 90 mph

Maple traveled for 4 hours at 50 mph

Explanation:

The velocity at which each person traveled is given by the distance traveled divided by the time spent (t). From the information given, the following expressions can be written

`t_d = 2t_m\\V_d = V_m+40\\V_d = (720)/(t_d)\\V_m = (200)/(t_m)\\\\V_d = (360)/(t_m)\\ (360)/(t_m)=(200)/(t_m)+40\\t_m = 4\ hours\\t_d=2*4 = 8\ hours\\\\V_d = (720)/(8)=90\ mph\\V_m = (200)/(4)=50\ mph\\`

Therefore, Donna traveled for 8 hours at 90 mph and Maple traveled for 4 hours at 50 mph.