SOLUTION: Please help me! I've been stuck on this problem for a while now and could really use some help. Wilma drove at an average speed of 40 mi/h from her home in City A to visit her s

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Question 904645: Please help me! I've been stuck on this problem for a while now and could really use some help.
Wilma drove at an average speed of 40 mi/h from her home in City A to visit her sister in City B. She stayed in City B for 25 hours, and on the trip back averaged 50 mi/h. She returned home 43 hours after leaving. How many miles is City A from City B?
Found 2 solutions by MathLover1, reviewermath:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

miles+=+m+
+m%2F50+%2B+m%2F40+%2B+25+=+43 (the two travel times + 25 hours)
m%2F50+%2B+m%2F40+=+43-25
m%2F50+%2B+m%2F40+=+18 (total travel time)
+40m%2F2000+%2B+50m%2F2000+=+18 (common denominator)
90m%2F2000+=+18

90m+=+18%2A2000+
90m+=+36000+
m+=+36000%2F90
m+=+400 miles

Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q:
Wilma drove at an average speed of 40 mi/h from her home in City A to visit her sister in City B. She stayed in City B for 25 hours, and on the trip back averaged 50 mi/h. She returned home 43 hours after leaving. How many miles is City A from City B?
A:
Let x = distance from City A to City B (in miles)
distance = rate*time or
time = distance/rate
(x/40) + 25 + (x/50) = 43, multiply both sides by 200
5x + 5000 + 4x = 8600
9x = 8600-5000
9x = 3600
x = 3600/9
x = 400 miles [Answer]