SOLUTION: Katie walks 3/2 miles in 1/3 hours. How many miles will Karen walk after 6 2/3 hours?

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Question 1074809: Katie walks 3/2 miles in 1/3 hours. How many miles will Karen walk after 6 2/3 hours?
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+d+=+r%2At+
+3%2F2+=+r%2A%281%2F3%29+
+r+=+9%2F2+ hrs
--------------------
Note that +6++=+18%2F3+ hrs
and +18%2F3+%2B+2%2F3+=+20%2F3+ hrs
--------------------------------
+d+=+r%2At+
+d+=+%289%2F2%29%2A%2820%2F3%29+
+d+=+30+
She will walk 30 miles

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Katie walks 3/2 miles in 1/3 hours. How many miles will Karen walk after 6 2/3 hours?
With D as the distance traveled in 6%262%2F3 hours, you can set up a proportion as follows:

matrix%281%2C3%2C+%283%2F2%29%2FD%2C+%22=%22%2C+%281%2F3%29%2F6%262%2F3%29 =======> matrix%281%2C3%2C+%283%2F2%29%2FD%2C+%22=%22%2C+%281%2F3%29%2F%2820%2F3%29%29 

D%2F3+=+%283%2F2%29+%2A+%2820%2F3%29 -------- Cross-multiplying

D%2F3+=+%28cross%283%29%2Fcross%282%29%29+%2A+%2810cross%2820%29%2Fcross%283%29%29 =======> D%2F3+=+10

D = 3(10) ------- Cross-multiplying

D, or distance traveled in 6%262%2F3 hours = highlight_green%28matrix%281%2C2%2C+30%2C+miles%29%29