Tuesday’s Warm Up
:
7
3
2 5
6
7
3
4
11
Simplify
x
x
x
7
3
10
12
21
28
11
x
x
x
7
3 11
16
11
x
x
7
33
48
11
x
x
44
41
x

Motion Problem Set Ups
1. A passenger train’s speed is 60 mi/h, and a freight train’speed is 40 mi/h. The passenger train travels the same distance in 1.5 h less time than the freight train. How long does each train take to make the trip?
s

Motion Problem Set Ups
2. Marla begins walking at 3 mi/h toward the library. Her friend meets her at the halfway point and drives her the rest of the way to the library. The distance to the library is 4 miles. How many minutes did Marla walk?
Distance
1st Half
3
2
?
2
?
2nd Half
mph
m
Rate
t
e
i
Tim
mi
3
2
t

Motion Problem Set Ups
3. Lois rode her bike to visit a friend. She traveled at 10 mi/h. While she was there, it began to rain. Her friend drove her home in a car traveling at 25 mi/h. Lois took 1.5 h longer to go to her friend’s than to return home. How many hours did it take Lois to ride to her friend’s house?

Motion Problem Set Ups
4. Fred begins walking toward John’s house at 3 mi/h. John leaves his house at the same time and walks toward Fred’s house on the same path at a rate of 2 mi/h. How long will it be, in minutes, before they meet if the distance between the houses is 4 miles?

Motion Problem Set Ups
5. May rides her bike the same distance that Leah walks. May rides her bike 10 km/h faster than Leah walks. If it takes May 1 h and Leah 3 h to travel that distance, how fast does each travel?
Distanc
10
10
e
Ma
L
h
3
y
e
1
3
a
r
Rate
Ti
hr
r
r
m
r
e
hr
1.5
60
40
r
r

Motion Problem Set Ups
6. A train leaves the station at 6:00 P.M. traveling west at 80 mi/h. On a parallel track, a second train leaves the station 3 hours later traveling west at 100 mi/h. At what time will the second train catch up with the first?
Distance
First Train
Second Trai
8
3
3
0
80
100
100
n
mph
t
t
t
Rate
Time
mph
t
80
10
3
0
t
t

Motion Problem Set Ups
7. At 10:00 A.M., a car leaves a house at a rate of 60 mi/h. At the same time, another car leaves the same house at a rate of 50 mi/h in the opposite direction. At what time will the cars be 330 miles apart?
60
Distance
First Car
Second
60
50
Car
50
m
Rate
Tim
ph
mph
e
t
t
t
t
60
50
330
t
t

Motion Problem Set Ups