SOLUTION: 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 15 hours, and on the trip back averaged 50 mi/h. She retur

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: 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 15 hours, and on the trip back averaged 50 mi/h. She retur      Log On

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Question 667692: 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 15 hours, and on the trip back averaged 50 mi/h. She returned home 48 hours after leaving. How many miles is City A from City B
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Let distance from city A to city B be x miles
speed forward = 40 mph
return speed = 50 mph
total time 48 hours
less 15 hours at sister's place
48-15=33 hours
Time forward + time return = 33
time = d/r
x%2F40+%2B+x%2F50+=+33
LCD = 200
multiply equation by 200
5x+4x=33*200
9x= 6600
x= 6600/9
733.33 miles is the distance from A to B