d
r
t
Victor drives 60 miles per hour for 3 hours.
How far did he drive?
Elise drives 200 miles in 4 hours. How fast did she drive?
Destiny drives 50 miles per hour and travels
300 miles. How many hours did she drive?

• Same direction: subtract
• Opposite directions: add
• Overtake: set distances equal to each other

Fred leaves the school on his bicycle and travels west at 14 km/h. Celia leaves and walks east at 6 km/h. How many hours does it take for Fred and Celia to be 70 km apart?
d f

14 d c

6
Fred d f
 d c

70
Celia
1 4
  
6
  
70

7
3
1
2 2

Fred leaves the school on his bicycle and travels west at 15 km/h. Celia leaves and jogs east at 9 km/h. How many hours does it take for Fred and Celia to be 96 km apart?
d f

15
Fred d f
 d c

96
Celia
1 5
  
9
  
96 d c

9 x

4 hours

Fred leaves the school on his bicycle and travels east at 17 km/h. Celia goes in the same direction at 9 km/h. In how many hours will they be 96 km apart?
d f

17
Fred d c

9
Celia
1 7
  
9
  
96
8 x

96
96 x

12 hours

Jake leaves the school on his Vespa and travels east at 23 mph. Lisa leaves in the same direction at 6 mph. How many hours does it take for them to be 68 mi apart?
d f

23
Jake d c

6
Lisa
2 3
  
6
  
68
17 x

68
68 x

4 hours

Fred leaves on his bicycle and travels west at 15 km/h. Two hours later Celia jogs east at 9 km/h. How many hours does it take for them to be 102 km apart?
Let x = hours after Fred leaves d f

15 d c

9
 x -2

5
Fred d f
 d c

Celia
102 1 5
  
9
 x

2
 
102
15 x

9 x
 
24 x

120

Dan leaves the school on his skateboard and travels west at 7 km/h. 3 hours later
Brisa jogs east at 8 km/h. In many hours will they be 81 km apart?
Let x = hours after Dan leaves d f

7 d c

8
 x -3

7 hours
Dan d f
 d c

Brisa
81
7
  
8
 x

3
 
8 1
15 x

24 81
15 x

105

Alex leaves the school on his jetskates and travels west at 25 km/h. 1 hour later Elise skates in the same direction at 7 km/h. In many hours will they be 88 km apart?
Alex
Elise d
N d
B

25

7
 x -1

88
25 (x) – 7 (x-1) =88
18 x

81 2 x

9 4.5

A small plane left Chicago at 11:00 p. m. and traveled at 180 mi/h. A jet left
Chicago and traveled in the same direction at 720 mi/h. If the jet left
Chicago at 2:00 a.m., at what time will the jet overtake the small plane?
180 x
3 am smallplane
720
 x
 3  jet
180 x

720 x

2160
2160

540 x 4
 x

A plane left LAX at noon and traveled at
300 mi/h. A jet left LAX and traveled in the same direction at 700 mi/h. If the jet left at 2:00 pm, at what time will the jet overtake the small plane?
300 x
3:30 pm smallplane
700
 x
 2  jet
300 x

700 x

1400
1400

400 x
3
1
2
 x

http://www.youtube.com/watch?v=pX2_JxV
RzBM

http://www.youtube.com/watch?v=_omz6n2U tMA