Practice 3-6 Equations and Problem Solving
Write and solve an equation for each situation. Use a table for Rate, Time and Distance!
1. A passenger train's speed is 60 mi/h, and a freight train's speed is
40 mi/h.The passenger train travels the same distance in 1.5 h less time
than the freight train. How long does each train take to make the trip?
2. Lois rode her bike to visit a friend. She traveled at 10 mi/h.While she
was there, it began to rain. Her friend drove her home in a car traveling
at 25 mi/h. Lois took 1.5 h longer to go to her friend's than to return
home. How many hours did it take Lois to ride to her friend's house?
4. The length of a rectangle is 4 in. greater than the width.The perimeter
of the rectangle is 24 in. Find the dimensions of the rectangle.
5. The length of a rectangle is twice the width.The perimeter is 48 in. Find
the dimensions of the rectangle.
9. A train leaves the station at 6:00 P.M. traveling west at 80 mi/h. On a
parallel track, a second train leaves the station 3 hours later traveling
west at 100 mi/h. At what time will the second train catch up with
the first?
11. Find three consecutive integers whose sum is 126.
13. A rectangular picture frame is to be 8 in. longer than it is wide. Dennis
uses 84 in. of oak to frame the picture.What is the width of the frame?
Challenge, 3. May rides her bike the same distance that Leah walks. May rides her
bike 10 km/h faster than Leah walks. If it takes May 1 h and Leah 3 h to
travel that distance, how fast does each travel?
Challenge - 10. It takes 1 hour longer to fly to St. Paul at 200 mi/h than it does to return
at 250 mi/h. How far away is St. Paul?
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