Uniform Motion: Opposite Direction Travel Worksheet Solve the following problems on a separate sheet of paper. 1. A train leaves Boston at 3:00 PM and heads for New York at 35 mph. At the exact same time, another train leaves New York and heads for Boston at a speed of 45 mph. If the distance between New York and Boston is 240 miles, how long will it be before the trains meet? 2. Stephanie leaves school at 3:00 on her bike and travels at a speed of 10 mph. If her mom leaves home at the same time and drives toward school at 40 mph, what time will they meet if the distance between home and school is 10 miles? 3. Joey and Josh are 600 miles apart. If Joey travels towards Josh at 22 mph and Josh travels toward Joey at 26 mph, how long until they meet? 4. A sailboat is taking on water during a storm and is in danger of sinking. After calling the Coast Guard, the sailboat turns towards shore and travels at 17 mph towards Boston which is 123.9 miles away. At the same time, a Coast Guard cutter leaves Boston and heads towards the floundering sailboat at a speed of 42 mph. How long until the Coast Guard reaches the sailboat? 5. A horse and a chicken are standing at a point on a ¼ mile track. The horse heads in one direction at 26 mph while the chicken heads in the opposite direction at 4 mph. How many seconds will pass before they meet again? 6. A turtle and a rabbit are standing at a point on a ¼ mile track. The rabbit heads in one direction at 8 mph and the turtle heads in the other direction at 2 mph. How many minutes will pass before they meet twice? 7. Two planes leave from Chicago at noon. One heads directly east at 420 mph while the 1 other heads west at 4133 mph. At what time will they be 2000 miles apart? 8. Kali left school and traveled toward her friend's house at an average speed of 40 km/h. Matt left one hour later and traveled in the opposite direction with an average speed of 50 km/h. Find the number of hours Matt needs to travel before they are 400 km apart. 9. A submarine left Hawaii two hours before an aircraft carrier. The vessels traveled in opposite directions. The aircraft carrier traveled at 25 mph for nine hours. After this time the vessels were 280 mi. apart. Find the submarine's speed. 10. Chelsea left the White House and traveled toward the capital at an average speed of 34 km/h. Jasmine left at the same time and traveled in the opposite direction with an average speed of 65 km/h. Find the number of hours Jasmine needs to travel before they are 59.4 km apart.