SOLUTION: Marcie can walk 8 miles in the same time as Frank walks 6 miles. If Marcie walks 1 mile per hour faster than Frank, then how fast does each person walk?

Question 162301: Marcie can walk 8 miles in the same time as Frank walks 6 miles. If Marcie walks 1 mile per hour faster than Frank, then how fast does each person walk?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Marcie can walk 8 miles in the same time as Frank walks 6 miles. If Marcie walks 1 mile per hour faster than Frank, then how fast does each person walk?
:
Let s = F's walking speed
then
(s+1) = M's walking speed
:
It says the times are equal; write a time equation: Time =
M's time = F's time
=
Cross multiply
8s = 6(s+1)
8s = 6s + 6
8s - 6s = 6
2s = 6
s =
s = 3 mph is F's speed
and
4 mph is M's speed
:
;
Check solutions by ensuring the times are equal:
8/4 = 2hr
6/3 = 2hr
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