Question

Maria drove to a business appointment at 50mph in the morning. Her average speed on the return trip in the afternoon was 40 mph. The return trip took 1/4hr longer because of traffic. How far did she travel to the appointment?

Answer 1

Answer:

Distance to appointment point = 5 miles

Step-by-step explanation:

Let s be the distance to the appointment point,

We have Maria drove to a business appointment at 50mph in the morning.

Time taken in the morning

               $t_m=\frac{s}{50}=0.02s$

Her average speed on the return trip in the afternoon was 40 mph.

Time taken in the afternoon

               $t_a=\frac{s}{40}=0.025s$

Given that the return trip took 1/4hr longer because of traffic.

That is

             $t_a-t_m=\frac{1}{4}hr=0.025hr$

Substituting

             $t_a-t_m=0.025hr\\\\0.025s-0.02s=0.025\\\\s=5miles$

Distance to appointment point = 5 miles