SOLUTION: Show all work as you solve the following problems and write complete answers, including appropriate units. Mark left school and traveled toward his cabin on the lake. Imani l

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Question 1131716: Show all work as you solve the following problems and write complete answers, including appropriate units.
Mark left school and traveled toward his cabin on the lake. Imani left school one hour later traveling 9 mph faster in an effort to catch up to him. After four hours Imani finally caught up. Find Mark's average speed

Found 3 solutions by Boreal, MathTherapy, josgarithmetic:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Mark x mph
Imani x+9 mph
Mark's distance is x mph*4 hours or 4x miles
Imani's distance is (x+9) mph*3 hours or 3x+27 miles
Since one caught the other, the distances are equal
4x=3x+27
x=27 mph Mark ANSWER
x+9=36 mph Imani
3 hours for Imani is 108 miles
4 hours for Mark is 108 miles

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!
Show all work as you solve the following problems and write complete answers, including appropriate units.
Mark left school and traveled toward his cabin on the lake. Imani left school one hour later traveling 9 mph faster in an effort to catch up to him. After four hours Imani finally caught up. Find Mark's average speed
That other person is WRONG!!
Correct answer:

Answer by josgarithmetic(39629) About Me  (Show Source):
You can put this solution on YOUR website!
         SPEED          TIME       DISTANCE

Mark        r           4+1=5        d
      
Imani       r+9           4          d

system%285r=d%2C4%28r%2B9%29=d%29
-
5r=4%28r%2B9%29
5r=4r%2B36
5r-4r=4r%2B36-4r
highlight%28r=36%29-------------Marks speed