Question 518365
a traveler takes a bus ride at 10 miles an hour to a certain point and then walks back 2 miles an hour.
 If he returns 3 hours after he left, how far did he walk?
:
Let d = the distance walked (and rode by bus)
:
Write a time equation, time = dist/speed
:
bus time + walk time = 3 hrs
{{{d/10}}} + {{{d/2}}} = 3
multiply by 10
10*{{{d/10}}} + 10*{{{d/2}}} = 10(3)
cancel out the denominators
d + 5d = 30
6d = 30
d = 30/6
d = 5 miles walked
;
:
Check solution of d=5 by finding the times
5/10 = .5 hrs
5/2  = 2.5 hrs
--------------
total: 3 hrs