SOLUTION: Tom walked to the meeting at 2 miles per hour and caught a ride home in an old truck at 10 miles per hour. How far was it to the meeting place if his total travel time was 18 hour

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Question 80361: Tom walked to the meeting at 2 miles per hour and caught a ride home in an old truck at 10 miles per hour. How far was it to the meeting place if his total travel time was 18 hours?
Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Tom walked to the meeting at 2 miles per hour and caught a ride home in an old truck at 10 miles per hour. How far was it to the meeting place if his total travel time was 18 hours?
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Let time at 2 mph be "x" ; distance walked = rt= 2x miles
Time at 10 mph is "18-x" ; distace by truck = rt= 10(18-x)=180-10x miles
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distance walked = distance rode
2x=180-10x
12x=180
x=15 hrs
Distance to the meeting place = 15 hrs*2mph = 30 mi
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Cheers,
Stan H>

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Tom walked to the meeting at 2 miles per hour and caught a ride home in an old truck at 10 miles per hour. How far was it to the meeting place if his total travel time was 18 hours?

Make this chart

          DISTANCE   RATE     TIME
Walking                                      
Riding                              

Let x be the distance to the meeting place. 
So fill n x for each distance.


          DISTANCE   RATE     TIME
Walking     x                               
Riding      x                     

Fill in the rates 

          DISTANCE   RATE     TIME
Walking     x          2                     
Riding      x         10          

Fill in the TIMES using TIME = DISTANCE/RATE


          DISTANCE   RATE     TIME
Walking     x          2       x/2           
Riding      x         10      x/10

Since the total time was 18 hours, we make the 
equation by adding the times and setting the
sum = 18

  x/2 + x/10 = 18

Solve that and get x = 30 miles.

Edwin