WP1a
Practice - Distance, Rate and Time
TRY TO ANSWER IN TWO AND A HALF MINUTES.
QUESTIONS
QUESTIONS
1. You drive from Philadelphia to Washington, which is 167 miles. You then drive to Richmond, which is 110 miles farther. It takes you 6 hours to make the trip. What is your average speed?
2. A train schedule shows arrival at Station A at 11.35 am, at Station B at 12.02 pm, and at Station C at 12.45 pm. Station C is 45 miles from Station B and 84 miles from Station A. What is the train's average speed between Station A and Station B?
3. If you drive at an average speed of 40 miles per hour for 3½ hours, how far do you go?
4. You walk 25 miles in 5 hours. What is your average speed in miles/hour?
5. You drive 423 miles. Your average speed is 45 miles/hour. How long does it take you?
6. A kayak takes two hours to go upstream from point A to point B. It then takes one hour to float back downstream. A is 6 miles from B. What was the average speed?
7. On a bicycle trip, you ride 30 miles in 4 hours. What is your average speed?
ANSWERS
1. Distance = Rate x Time. Distance/Time = Rate. (167 + 109)/6 = 46 miles/hour.
2. The rate (speed) equals the distance divided by the time. The time between A and B is 27 minutes, to cover a distance of 45 miles. So the average speed is 45 miles / 27 minutes = 1.67 miles per minutes. Since there are 60 minutes in an hour, the speed in miles/hour is 1.67 times 60 = 100 mph.
3. 3.5 x 40 = 140 miles.
4. 25/5 = 5 miles/hour.
5. 423/45 = 9.4 hours, or 9 hours and 24 minutes.
6. The total distance d was 6 x 2 = 12 miles. The total time was 2 + 1 = 3 hours. Since d = rt, r = d/t = 12 miles/3hours = 4 miles/hour.
7. d = rt, so r = d/t = 30 miles/4 hours = 7.5 miles/hour.
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