Motion Word Problems

Car “X” leaves point A at 9:00 am at a rate of 60 mph. Car “Y” leaves point A at 11 am at a rate of 90 mph. If they both leave from the same starting point, how long until both cars meet?

• 4 hours

• 5 hours

• 6 hours

• 7 hours

Car “X” left Miami to New York. 6 hours later car “Y” left travelling at 70 mph to catch up with car X. After 4 hours both cars were in the same spot.

What was the average speed for car X?

• 20 mph

• 28 mph

• 30 mph

• 35 mph

Tags

CCSS.HSA.CED.A.1

Two cars leave the town at the same time going opposite direction.

One of them travels at 45 mph and the other at 55 mph.

In how many hours will they be 150 miles apart?

• 1.5 hours

• 2 hours

• 2.5 hours

• 3 hours

Tags

CCSS.HSA.CED.A.1

Machine A takes 3 hours to print labels. Machine B takes 5 hours doing the same job. How long will it take both machines if they work together?

• $1\ \frac{2}{7}$
  

• $1\ \frac{4}{9}$ hours
  

• $1\ \frac{1}{8}$ hours
  

• $1\ \frac{7}{8}$ hours

Tags

CCSS.6.NS.B.3

Working together both machines can print labels in 6 hours. If machine A works twice as fast than machine B.How long does it take to do the job for machine A?

• 6 hours

• 7 hours
  

• 8 hours
  

• 9 hours

 A yellow and a blue car leave from the same place and travel opposite directions. The yellow car is traveling 50 mph while the blue car is traveling 70 mph. In how many hours will they be 1080 miles apart?

• 9 hours

• 10 hours
  

• 11 hours
  

• 12 hours

Machine C takes 4 hours to complete a task. Machine D takes 6 hours to complete the same task. How long will it take both machines if they work together?

• 2.6 hours

• 2 hours

• 2.4 hours

• 2.5 hours

A red car and a green car leave from the same place and travel in opposite directions. The red car is traveling at 60 mph while the green car is traveling at 80 mph. In how many hours will they be 1120 miles apart?

• 7 hours

• 8 hours

• 10 hours

• 9 hours

Two trains leave a station at the same time going in opposite directions. One train travels at 40 mph and the other at 60 mph. In how many hours will they be 200 miles apart?

• 2 hours

• 2.5 hours

• 3.5 hours

• 3 hours

Mrs. Wilkinson, the P.E. teacher, is pairing off students to race against each other. Jill can run 6 yards per second, and Sandra can run 8 yards per second. Mrs. Wilkinson decides to give Jill a head start of 50 yards since she runs more slowly. Once the students start running, Sandra will quickly catch up to Jill. How far will Sandra have to run?

• 200 yards

• 25 seconds

• 25 yards

• 200 seconds

Tags

CCSS.HSA.CED.A.1