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
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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) (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
;
+ = 6.3
mult eq by 160 to get rid of the denominators,
160* + 160* = 160(6.3)
results
5d + 16d = 1006
;
21d = 1008
d =
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
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