SOLUTION: Wyatt left his house and rode his bike into town at 10 mph. Along the way he got a flat so he had to turn around and walk his bike back to his house traveling 5 mph. If the trip do

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Question 1144630: Wyatt left his house and rode his bike into town at 10 mph. Along the way he got a flat so he had to turn around and walk his bike back to his house traveling 5 mph. If the trip down and back took 9 hours, how far did he get before his tire went flat?
Found 3 solutions by Alan3354, josgarithmetic, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Wyatt left his house and rode his bike into town at 10 mph. Along the way he got a flat so he had to turn around and walk his bike back to his house traveling 5 mph. If the trip down and back took 9 hours, how far did he get before his tire went flat?
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Avg speed of the round trip = 2*10*5/(10+5) = 20/3 mi/hr
RT distance = (20/3)*9 = 60 miles
Answer by josgarithmetic(39613)   (Show Source): You can put this solution on YOUR website!
d, distance until flat
, time until flat
, time walking back


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Answer by ikleyn(52754)   (Show Source): You can put this solution on YOUR website!
.

Let the unknown distance under the question be " d " miles.


Then the time biking is the distance " d " divided by the average rate biking

     =   hours.


The     time walking is the same distance " d " divided by the average rate walking

     =   hours.


The total time   +   is 9 hours.

It gives you an equation


     +  = 9   hours.


This equation is called "time" equation, since each its term is time.


To solve it, multiply both sides by 10.  You will get

    d + 2d = 90,

    3d     = 90,

      d    =  = 30.


ANSWER.  One way distance is 30 miles.

Solved.

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Using  "time"  equation is the  STANDARD  method of solving such problems.
From my post,  learn on how to write,  how to use and how to solve a  "time"  equation.

To see many other similar solved problems,  look into the lessons
    - Had a car move faster it would arrive sooner
    - How far do you live from school?
    - Earthquake waves
    - Time equation: HOW TO use, HOW TO write and HOW TO solve it
in this site.


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