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
:
Let d = dist to the shop
:
Write a time equation: Time = dist/speed
:
Time to + time back = 1 hr
{{{d/14}}} + {{{d/3.5}}} = 1
Multiply by 14 to get rid of the denominator, results:
d + 4d = 14
5d = 14
d = {{{14/5}}}
d = 2.8 mi to the shop
:
:
Check: 
2.8/14 + 2.8/3.5
.2 + .8 = 1 hr