SOLUTION: A cyclist traveled at a rate of 32 mph to visit a nearby town. The cyclist averaged 10 mph on the return trip. If the round trip took 6.3 hours, find the distance to the nearby tow

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A cyclist traveled at a rate of 32 mph to visit a nearby town. The cyclist averaged 10 mph on the return trip. If the round trip took 6.3 hours, find the distance to the nearby tow      Log On


   



Question 176658: A cyclist traveled at a rate of 32 mph to visit a nearby town. The cyclist averaged 10 mph on the return trip. If the round trip took 6.3 hours, find the distance to the nearby town.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A cyclist traveled at a rate of 32 mph to visit a nearby town. The cyclist
averaged 10 mph on the return trip. If the round trip took 6.3 hours,
find the distance to the nearby town.
:
let d = one way distance traveled
:
write time equation time = dist/speed
;
d%2F32 + d%2F10 = 6.3
mult eq by 160 to get rid of the denominators,
160*d%2F32 + 160*d%2F10 = 160(6.3)
results
5d + 16d = 1006
;
21d = 1008
d = 1008%2F21
d = 48 mi
:
:
check solution by finding the total time
48/32 = 1.5
48/10 = 4.8
------------
total = 6.3 hr, confirms our solution