SOLUTION: Solve the following problem. Keep in mind the suggestions we offered in this section. Dawn starts on a 116-mile trip on her moped at 20 miles per hour. After a while the motor

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Solve the following problem. Keep in mind the suggestions we offered in this section. Dawn starts on a 116-mile trip on her moped at 20 miles per hour. After a while the motor      Log On

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Question 1021378: Solve the following problem. Keep in mind the suggestions we offered in this section.
Dawn starts on a 116-mile trip on her moped at 20 miles per hour. After a while the motor stops, and she pedals the remainder of the trip at 16 miles per hour. The entire trip takes 6 1/2 hours. How far had Dawn traveled when the motor on the moped quit running?
Found 2 solutions by josgarithmetic, ewatrrr:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
              rate         times             distances

Motor          20           m                  20m

Peddle         16           p                  16p

Total                       6%261%2F2                116

system%28m%2Bp=6%261%2F2%2C20m%2B16p=116%29


system%28m%2Bp=6%261%2F2%2C20m%2B16p=116%29

Distance equation members divisible by 4:
system%28m%2Bp=6%261%2F2%2C5m%2B4p=29%29
and then multiply the time equation's members by 4 to prepare for Elimination Method:
system%284m%2B4p=26%2C5m%2B4p=29%29

Quickly find highlight_green%28m=3%29.
The distance traveling motorized was 20m=20%2A3=highlight%2860%2Amiles%29.

Answer by ewatrrr(24785) About Me  (Show Source):