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The Iditarod Race

Math in the News
Issue 95
The Iditarod Race
This year’s Iditarod happens during a particularly harsh
winter. This 1000-mile race is an endurance
competition for musher and dog alike. In this issue we
measure the average speed of the racers.
The Iditarod Race
The Iditarod Race began in 1973, in part to
commemorate a heroic Anchorage-to-Nome delivery of
diphtheria serum that made a husky by the name of
Balto famous to children the world over. It is now a
world-wide sporting event.
The Iditarod Race
This is the map of this year’s Iditarod Race. This is the
Northern route. On odd-numbered years there is a
Southern route. As you can see this 975-mile route is
not a straight-line distance from Anchorage to Nome.
The Iditarod Race
This table shows the
winning times for the all
the racers since the first
Iditarod. The first thing to
notice is that these times
have steadily increased,
as mushers have
improved their speeds
over time. (Table
continued on the next
slide.)
Source: Iditarod.com

Year

Days

Hours

Minutes Seconds

1973

20

0

49

41

1974

20

15

1

7

1975

14

14

43

15

1976

18

22

58

17

1977

16

16

27

13

1978

14

18

52

24

1979

15

10

37

47

1980

14

7

11

51

1981

12

8

45

2

1982

16

4

40

10

1983

12

14

10

44

1984

12

15

7

33

1985

18

0

20

17

1986

11

15

6

0

1987

11

2

5

13

1988

11

11

41

40

1989

11

5

24

34

1990

11

1

53

23

1991

12

16

34

39
The Iditarod Race
Year
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012

Days
10
10
10
9
9
9
9
9
9
9
8
9
9
9
9
9
9
9
9
9
9

Hours
19
15
13
2
5
8
5
14
0
19
22
15
12
18
11
5
11
21
23
18
4

Minutes
17
38
2
42
43
30
52
31
58
55
46
47
20
39
11
8
46
38
59
46
29

Seconds
15
15
39
19
0
45
26
7
6
50
2
36
22
31
36
41
48
46
9
39
26
The Iditarod Race
Take the data in the table and input it into a
spreadsheet. Create a new column to convert the
times to hours.
Year
1973
1974
1975
1976
1977
1978
1979
1980

Days
20
20
14
18
16
14
15
14

Hours
0
15
14
22
16
18
10
7

Minutes Seconds Hours
49
41
480.83
1
7
495.02
43
15
350.72
58
17
454.97
27
13
400.45
52
24
354.87
37
47
370.63
11
51
343.20

=B2*24+C2+D2/60
+E2/3600
The Iditarod Race
Create a line graph of the data for the winning times.
Here you can see how the winning times have steadily
decreased, and now hover around 200 hours.
The Iditarod Race
Now add another column to the spreadsheet to
calculate the average speed.

Year
1973
1974
1975
1976
1977
1978
1979
1980

Hours
480.83
495.02
350.72
454.97
400.45
354.87
370.63
343.20

Average
Speed (mi/h)
2.028
1.970
2.780
2.143
2.435
2.747
2.631
2.841

=975/F2
The Iditarod Race
Here is a line graph of the speed data, and it clearly
shows a steady improvement in the average speed.
The Iditarod Race

Why have the times
increased so steadily?
The Iditarod Race
First, let’s refine our speed estimate. The average
speed we calculated assumes the mushers are riding
24/7, which isn’t true. There’s a mandatory 40-hours of
rest minimum. Adjust your spreadsheet to see the
impact on the speeds.
Year

1973
1974
1975
1976
1977
1978
1979
1980

Hours

480.83
495.02
350.72
454.97
400.45
354.87
370.63
343.20

Average
Speed (mi/h)
2.028
1.970
2.780
2.143
2.435
2.747
2.631
2.841

Reduce by 40
The Iditarod Race
Here is a double line graph of the speed data sets, and
it clearly shows an increase in the average speed.
The Iditarod Race
Now assume that of the remaining hours, a musher
spends between 15% to 20% of their time resting.
(People normally spend 33 1/3% resting.) How does
this affect the speed? Here is a multi-line graph
showing such an adjustment.
The Iditarod Race
• Continue investigating ways in which racers have
increased their average speed. Keep these
questions in mind:
•
•
•

Do racers maintain the same speed throughout the entire
race? If not, how does their speed vary?
How does the number of dogs used in the race affect the
average speed?
What techniques do racers use to improve their speed?

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Iditarod Race speeds increase over time

  • 1. The Iditarod Race Math in the News Issue 95
  • 2. The Iditarod Race This year’s Iditarod happens during a particularly harsh winter. This 1000-mile race is an endurance competition for musher and dog alike. In this issue we measure the average speed of the racers.
  • 3. The Iditarod Race The Iditarod Race began in 1973, in part to commemorate a heroic Anchorage-to-Nome delivery of diphtheria serum that made a husky by the name of Balto famous to children the world over. It is now a world-wide sporting event.
  • 4. The Iditarod Race This is the map of this year’s Iditarod Race. This is the Northern route. On odd-numbered years there is a Southern route. As you can see this 975-mile route is not a straight-line distance from Anchorage to Nome.
  • 5. The Iditarod Race This table shows the winning times for the all the racers since the first Iditarod. The first thing to notice is that these times have steadily increased, as mushers have improved their speeds over time. (Table continued on the next slide.) Source: Iditarod.com Year Days Hours Minutes Seconds 1973 20 0 49 41 1974 20 15 1 7 1975 14 14 43 15 1976 18 22 58 17 1977 16 16 27 13 1978 14 18 52 24 1979 15 10 37 47 1980 14 7 11 51 1981 12 8 45 2 1982 16 4 40 10 1983 12 14 10 44 1984 12 15 7 33 1985 18 0 20 17 1986 11 15 6 0 1987 11 2 5 13 1988 11 11 41 40 1989 11 5 24 34 1990 11 1 53 23 1991 12 16 34 39
  • 7. The Iditarod Race Take the data in the table and input it into a spreadsheet. Create a new column to convert the times to hours. Year 1973 1974 1975 1976 1977 1978 1979 1980 Days 20 20 14 18 16 14 15 14 Hours 0 15 14 22 16 18 10 7 Minutes Seconds Hours 49 41 480.83 1 7 495.02 43 15 350.72 58 17 454.97 27 13 400.45 52 24 354.87 37 47 370.63 11 51 343.20 =B2*24+C2+D2/60 +E2/3600
  • 8. The Iditarod Race Create a line graph of the data for the winning times. Here you can see how the winning times have steadily decreased, and now hover around 200 hours.
  • 9. The Iditarod Race Now add another column to the spreadsheet to calculate the average speed. Year 1973 1974 1975 1976 1977 1978 1979 1980 Hours 480.83 495.02 350.72 454.97 400.45 354.87 370.63 343.20 Average Speed (mi/h) 2.028 1.970 2.780 2.143 2.435 2.747 2.631 2.841 =975/F2
  • 10. The Iditarod Race Here is a line graph of the speed data, and it clearly shows a steady improvement in the average speed.
  • 11. The Iditarod Race Why have the times increased so steadily?
  • 12. The Iditarod Race First, let’s refine our speed estimate. The average speed we calculated assumes the mushers are riding 24/7, which isn’t true. There’s a mandatory 40-hours of rest minimum. Adjust your spreadsheet to see the impact on the speeds. Year 1973 1974 1975 1976 1977 1978 1979 1980 Hours 480.83 495.02 350.72 454.97 400.45 354.87 370.63 343.20 Average Speed (mi/h) 2.028 1.970 2.780 2.143 2.435 2.747 2.631 2.841 Reduce by 40
  • 13. The Iditarod Race Here is a double line graph of the speed data sets, and it clearly shows an increase in the average speed.
  • 14. The Iditarod Race Now assume that of the remaining hours, a musher spends between 15% to 20% of their time resting. (People normally spend 33 1/3% resting.) How does this affect the speed? Here is a multi-line graph showing such an adjustment.
  • 15. The Iditarod Race • Continue investigating ways in which racers have increased their average speed. Keep these questions in mind: • • • Do racers maintain the same speed throughout the entire race? If not, how does their speed vary? How does the number of dogs used in the race affect the average speed? What techniques do racers use to improve their speed?