Form 5: Speed, Distance, and Motion Systems

Questions

1. MultiChoice

   A plane flies 1,100 miles with a tailwind in 2 hours. The return trip against the wind takes 2.2 hours (500 mph effective). What is the speed of plane in still air and the wind speed?

2. MultiChoice

   A boat travels 36 miles downstream in 2 hours and 24 miles upstream in 2 hours. What is the boat speed in still water and the current speed?

3. MultiChoice

   Two cars start 300 miles apart driving toward each other. One travels at 70 mph and the other at 80 mph. How long until they meet?

4. MultiChoice

   A car travels 20 mph faster than a bus. In 3 hours, the car travels 60 miles farther than the bus. If the sum of their speeds is 100 mph, find both speeds.

5. MultiChoice

   A jet flies 1,320 miles in 3 hours with wind and 1,080 miles in 3 hours against wind. Find the jet speed in still air and wind speed.

6. MultiChoice

   A canoe travels 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the canoeing speed in still water and current speed?

7. MultiChoice

   Two cyclists start at the same point riding in opposite directions. One goes at 12 mph and the other at 16 mph. In how many hours will they be 84 miles apart?

8. MultiChoice

   Two trains leave a station going opposite ways. The fast train travels 30 mph faster than the slow train. After 2 hours they are 260 miles apart. Find the fast train speed.

9. MultiChoice

   A kayak travels 16 miles downstream in 2 hours and 8 miles upstream in 2 hours. What is the kayaking rate in still water?

10. MultiChoice

    A small plane flies 990 miles with wind in 3 hours and 810 miles against wind in 3 hours. Find the wind speed.

11. MultiChoice

    Runner A runs at 6 mph and Runner B runs at 8 mph starting from the same point in opposite directions. When will they be 56 miles apart?

12. MultiChoice

    A boat goes 24 miles downstream in 2 hours and 24 miles upstream in 3 hours. Find the boat speed in still water and current speed.