SOLUTION: If Mindy and Mork are 6.6 miles apart and begin to walk in the same direction, it will take Mork 11 hours to overtake Mindy. If they decided to walk towards each other rather than

Question 376442: If Mindy and Mork are 6.6 miles apart and begin to walk in the same direction, it will take Mork 11 hours to overtake Mindy. If they decided to walk towards each other rather than in the same direction, they would meet in an hour. What are their speeds?
I realize that there will be two equations, in which one wil be substituted into the other. I just don't know how to set them up.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If Mindy and Mork are 6.6 miles apart and begin to walk in the same direction,
it will take Mork 11 hours to overtake Mindy.
If they decided to walk towards each other rather than in the same direction, they would meet in an hour. What are their speeds?
:
Let m = Mork's speed
Let n = Mindy's speed
:
Write a distance equation for each scenario, Dist = time * speed
:
Elimination method would be easier than substitution in this case
:
11(m - n) = 6.6
and
1(m + n) = 6.6
:
Divide the 1st equation by 11, add to the 2nd equation
m - n = .6
m + n = 6.6
---------------adding eliminates n, find m
2m = 7.2
m =
m = 3.6 mph is Morks's speed
then using the 2nd equation find n
3.6 + n = 6.6
n = 6.6 - 3.6
n = 3 mph is Mindy's speed
:
:
Check solution in the 1st equation
11(3.6 - 3) = 6.6
11(.6) = 6.6; confirms our solutions

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