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

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Marcie can walk 8 miles in the same time Frank can walk 6 miles. If Marcie walks 1 mile per hour faster than Frank, then how fast does each person walk?      Log On


   

Question 360461: Marcie can walk 8 miles in the same time Frank can walk 6 miles. If Marcie walks 1 mile per hour faster than Frank, then how fast does each person walk?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Let x represent Frank's mph.  then Marcie's would be (x+1)mph

d = rt

write as we read***

6 = xt     Or t = 6/x

8 = (x+1)t 0r t = 8/(x+1)

6/x = 8/(x+1)

cross multiply to solve

8x = 6(x+1)

8x = 6x + 6

2x = 6

x = 3mpr

Franks walks 3mpr and Marcie walks 4mph



checking our answer

6mi/3mph = 8mi/4mph