NAME:______

Motion/Distance

  1. Two cars start at the same place but travel in opposite directions. One car averages 42 miles an hour and the other averages 51 miles an hour. How many hours will it be before the cars are 651 miles apart?
  2. Two trains start at the same place, traveling in opposite directions. After three hours they are 414 miles apart. How fast is each traveling if the rate of one train is 8 miles per hour faster than the other.
  3. Mr. Jones drove his car from San Francisco to San Diego at an average rate of 50 miles per hour and returned at an average rate of 60 miles per hour. Find the time he spent traveling each direction if the return time was one hour less than the original time.
  4. One car travels 50 miles an hour and another travels at 65 miles an hour. If they start from the same place at the same time and travel in the same direction, after how many hours will the faster car be 75 miles ahead of the slower car?
  5. Jose left Waterford on his bicycle riding an average of 8 miles per hour five hours before his father left in his automobile. The father overtook Jose in exactly two hours. At what average rate was Jose’s father traveling?
  6. Two cars start at the same point and travel in opposite directions. One travels twice as fast as the other. If they both travel for 6 hours and end up 1080 miles apart, how fast are they going?
  7. Two cars start at the same point and travel in the same direction – one at 50 mph and the other at 65 mph. If the slower car starts 3 hours before the faster car, how long will the faster car travel before it catches the slower car?
  8. Alison and Bret start at the same point and travel in opposite directions for 3 hours. Alison travels 2 mph faster than Bret. At the end of the time, they are 48 miles apart. How fast does each travel?
  9. A freight train starts out at 12 noon and is followed at 1pm by a passenger train that goes 6 mph faster. If the passenger train overtakes the freight train at 5pm, find the rates of both trains.
  10. Joe Trucker leaves Oakdale traveling at an average of 55mph. 2.5 hours later speedy sportster leaves Oakdale traveling in the same direction at 80 mph. How long has Joe been traveling when speedy catches him?
  11. Two cars leave the same point and travel in opposite directions. The speed of one is ten miles per hour faster than the other. At the end of 2.5 hours, they are 275 miles apart. How fast is each traveling?
  12. A car leaves point A and is traveling at 50 miles per hour. Three hours later another car leaves point A and travels in the same direction at 65 miles per hour. How much time will the first car have been traveling when the second car overtakes it.
  13. A walker and a biker leave the same point and travel in the same direction. The biker’s speed is 4 times the walker’s speed. At the end of 4.5 hours, the biker is 54 miles ahead. Find the speed of both.
  14. George drives from Turlock to Bakersfield at 60 mph and returns at night with patchy fog at an average of 45 mph. If the return trip takes 60 minutes longer, what is the distance from Turlock to Bakersfield?
  15. Joe drives from Oakdale to San Francisco at 60 mph and returns in rush hour traffic at an average of 45 mph. If the return trip takes 40 minutes longer, what is the distance from Oakdale to San Francisco?
  16. Two cars start at the same place but travel in opposite directions. One car averages 53 miles per hour and the other averages 59 miles per hour. How many hours will it be before the cars are 896 miles apart?
  17. Two trains start at the same place, traveling in opposite directions. After four hours they are 424 miles apart. How fast is each train traveling if the rate of one train is 10 miles per hour faster than the other train?
  18. Two trains, starting from the same place, are traveling in opposite directions. One train travels at an average rate that is 15 miles per hour faster than the other train. Find the rate of each train if they are 291 miles apart after three hours.
  19. One car travels 55 miles per hour and the other one travels 60 miles per hour. If they start from the same place at the same time, traveling in the same direction, in how many hours will the faster car be 100 miles ahead of the slower one?
  20. One car travels 56 miles per hour and another car travels 62 miles per hour. The slower car starts 3 hours before the faster car. If they start at the same point and travel in the same direction, how long will the faster car travel before it overtakes the slower car?
  21. Marilyn drove her car from Amarillo to Dallas at an average rate of 50 miles per hour and returned over icy roads averaging only 30 miles per hour. Find the time on each part of the trip if the time returning was 4 hours more than the original trip.

1.7 hours

2. 65mph, 73mph

3. 6 hours at 50mph, 5 hours at 60mph

4. 5 hours

5. 28 mph

6. 60 mph, 120 mph

7. 10 hours

8. 7 mph, 9 mph

9. 24 mph, 30 mph

10. 8 hours

11. 50 mph, 60 mph

12. 13 hours

13. 4 mph, 16 mph

14. 180 miles

15. 120 miles

16. 8 hours

17. 48 mph, 58 mph

18. 41 mph, 56 mph

19. 20 hours

20. 28 hours

21. 6 hours, 10 hours