# Part 1 - Union High School

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3.6 B Uniform Motion Algebra 1 Notes
1) Uniform motion: SAME DIRECTION
a) A passenger train leaves a station at 1pm and travels at an average rate of 72mi/h. A high-speed train
leaves the same station and hour later and travels at an average rate of 90mi/h. The trains follow the
same route. In how many hours will the high-speed train overtake the passenger train?
Rate
Time
Distance
b) A group of campers left a campsite in a canoe traveling at a speed of 10 km/h. Two hours later the
group leader left the campsite in a motorboat traveling in the same direction at a speed of 22 km/h.
How long did it take for the motorboat to catch up with the canoe?
Rate
c)
Time
Distance
Joe left home on his bicycle for a long-distance ride. Meredith left 3 hours later on her motorcycle
carrying Joe’s lunch. Meredith traveled at 42 mph and she caught up to Joe in 1.5 hours. How fast was
Joe traveling?
Rate
Time
Distance
d) Suppose John and Gina leave at the same time traveling in the same direction. Gina drives at 85 mph
and John at 70 mph. How long until they are 90 miles apart?
Rate
Time
Distance
1
2) Uniform Motion: OPPOSITE DIRECTION
a)
Jane and Peter leave their home traveling in opposite directions on a straight road. Peter drives 15 mi/h faster
than Jane. After 3 hours they are 225 miles apart. Find Peter’s and Jane’s rate.
Rate
b)
Time
Distance
Two trains leave Washington D.C. at the same time, one traveling north, the other south. The first train
travels at 60 mph and the second at 55 mph. In how many hours will the trains be 805miles apart?
Rate
d)
Distance
Sarah and John leave New York City traveling in opposite directions. Sarah drives 12 mi/h faster than John. After
2 hours they are 176 miles apart. Find John’s and Sarah’s Speed.
Rate
c)
Time
Time
Distance
At the same time Mike leaves Union for Virginia Beach, Paul leaves Virginia Beach for Union. The
distance between the two towns is 540 miles. Mike’s average speed is 15 mph faster than Paul’s. How
fast is Paul driving if they pass each other in 4 hours?
Rate
Time
Distance
2
3) Uniform Motion: ROUND TRIP
a) Noya travels into the city to buy software at the computer store. Because of the traffic, she averages
only 15mi/h. On her drive home, she averages 35 mi/h. If the total drive time is 2 hours, how long did
it take her to drive to the computer store?
Rate
Time
Distance
b) On his way to work from home, Uncle Jack averaged only 20 mi/h. On his drive home from work, he
1
averages 40 mi/h. If the total drive time was 1 2 hours, how long did it take him to drive to work?
Rate
c)
Time
Distance
Cheryl is on her way home from work averaging a speed of 30mph. Once she gets home she
remembered she left her purse at work. Because of traffic, she averages only 10mph going from home
back to work. If the total drive time is 1.5 hours, how long does it take her to drive back to work?
Rate
Time
Distance
d) On his way to the food store from home, Mike averages only 25 mph. On his drive home, he averages
55mph. If the total drive was 2 hours, how long did it take him to drive to the food store?
Rate
Time
Distance
3
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