Question 397092
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 mph walking home.
 The round trip took an hour.
 How far was it between the students home and the bicycle shop?
:
let d = distance to the repair shop
:
Wrote a time equation; Time = dist/speed
:
to shop time + return time = 1 hr
{{{d/14}}} + {{{d/3.5}}} = 1
:
Multiply by 14, results:
d + 4d = 14
5d = 14
d = {{{14/5}}}
d = 2.8 mi from home to the repair shop
:
:
Check solution by finding the actual times:
2.8/14 = .2 hr
2.8/3.5 =.8 hr
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total time: 1 hr