SOLUTION: 8) Travel- Suppose a family drives at an average rate of 60 mi/h on the way to visit relatives and then at an average rate of 40 mi/h on the way back. The return trip takes 1

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Question 925774: 8) Travel- Suppose a family drives at an average rate of 60 mi/h on the way to visit relatives and then at an average rate of 40 mi/h on the way back. The return trip takes 1 h longer than the trip there.
a) Let d be the distance in miles the family traveled to visit their relatives. How many hours did it take to drive there?
b) In terms of d, how many hours did it take to make the return trip?
c) Write and solve an equation to determine the distance the family drove to see their relatives. What was the average rate for the entire trip?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Basic rule is RT=D for rate time distance. Making a table of data helps.

________________speed_________time_________distance
GOING___________60_____________t___________d
RETURNG_________40____________t+1__________d

Two equations can be formed using the basic rule.

________________speed_________time_________distance
GOING___________60_____________t___________highlight_green%28d=60t%29
RETURNG_________40____________t+1__________highlight_green%28d=40%28t%2B1%29%29