Distance, rate, and time

Question

Emily started walking to a town 10 miles away at a rate of 3 mph. After walking part of the way, she got a ride. The car
traveled at an average rate of 48 mph, and Emily reached the town 50 minutes after she started walking. How long did she
walk before getting a ride?

Answer 1

w represents distance walking

10 - w represents distance riding

 

w/3 represents time walking          d / r = t

(10 - w)/48 represents time riding

 

w/3 + (10 - w)/48 = 5/6           50 minutes is 5/6 of an hour

 

Can you solve for w?