Distance, Rate, And Time

7 Questions | Total Attempts: 644

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Distance, Rate, And Time

A quiz to test students' ability to analyze and solve problems on motion which includes concepts of distance, rate or speed, and time.


Questions and Answers
  • 1. 
    Two people started from the same point at the same time and traveled in opposite directions. One traveled at 60 mph and the other at 40 mph. How long will it take before the two people are 500 miles apart?
    • A. 

      6 hours

    • B. 

      5 hours

    • C. 

      12 hours

    • D. 

      20 hours

    • E. 

      25 hours

  • 2. 
    A bus entered the freeway and traveled at a constant speed of 40 mph. Two hours later a second bus followed the first bus, entering the freeway from the same point as the first bus, and traveled at a constant speed of 50 mph. How long will it take the second bus to catch up with the first bus?
  • 3. 
    James drove his car down a mountain road at an average rate of 30 mph and returned over the same road at an average rate of 20 mph. If his trip took 5 hours, how far did he drive down the road before he turned around and drove back?
    • A. 

      1

    • B. 

      2

    • C. 

      3

    • D. 

      4

    • E. 

      5

  • 4. 
    A plane trip lasted for 5 hours and was 555 miles long. The average speed for the first part was 105 mph. The tailwind picked up, so the remainder of the trip was flown at an average speed of 115 mph. for how long did the plane fly at the first part of the trip?Play sound effects
    • A. 

      3.5 hours

    • B. 

      3 hours

    • C. 

      2.5 hours

    • D. 

      2 hours

  • 5. 
    A passenger train leaves the station 2 hours after a freight train leaves the same station. The freight train is traveling 20 mph slower than the passenger train. Then, the passenger train overtakes the freight train in 3 hours.   d r t passenger train d r 3 freight train d r – 20 3 + 2 = 5 total --- --- ---The distance is just "d" for both trains because they went __________ counting from the station to wherever they met.
  • 6. 
    A boat travels for three hours with a current of 3 mph and then returns the same distance against the current in 4 hours. What is the boat's speed in calm water?
    • A. 

      21 mph

    • B. 

      12 mph

    • C. 

      3.5 mph

    • D. 

      2.5 mph

    • E. 

      1 mph

  • 7. 
    One cyclist is riding at 14 mph and the second is riding at 16 mph. They started at the same time from opposite ends of a course that is 45 miles long. How long after they begin will the two cyclists meet?What should be under the column of distance d for the fast guy to complete the table below?  d r t slow guy d 14 t fast guy 16 t total 45 --- ---
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