SOLUTION: a student rode a bicycle to the repair shop and then walked home. The student averaged 14 mph riding to the shop and 3.5 walking home. The round trip took 1 hr. How far is it fr

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Question 257172: a student rode a bicycle to the repair shop and then walked home. The student averaged 14 mph riding to the shop and 3.5 walking home. The round trip took 1 hr. How far is it from the students home to the repair shop
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a student rode a bicycle to the repair shop and then walked home.
The student averaged 14 mph riding to the shop and 3.5 walking home.
The round trip took 1 hr. How far is it from the students home to the repair shop
:
Let d = dist to the shop
:
Write a time equation: Time = dist/speed
:
Time to + time back = 1 hr
d%2F14 + d%2F3.5 = 1
Multiply by 14 to get rid of the denominator, results:
d + 4d = 14
5d = 14
d = 14%2F5
d = 2.8 mi to the shop
:
:
Check:
2.8/14 + 2.8/3.5
.2 + .8 = 1 hr