SOLUTION: In 2002, Martin Buser, from Big Lake, Alaska, won the Iditarod in a time of 8 days , 22 hours, 46 minutes, and 2 seconds setting a new record. In 2006, Jeff King, from Denali, Ala

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: In 2002, Martin Buser, from Big Lake, Alaska, won the Iditarod in a time of 8 days , 22 hours, 46 minutes, and 2 seconds setting a new record. In 2006, Jeff King, from Denali, Ala      Log On

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Question 73862: In 2002, Martin Buser, from Big Lake, Alaska, won the Iditarod in a time of 8 days , 22 hours, 46 minutes, and 2 seconds setting a new record. In 2006, Jeff King, from Denali, Alaska, won the Iditarod in a time of 9 days, 11 hours, 11 minutes, and 36 seconds. Assumethe length of the race is 1112 miles. What is the positive difference between their mean speeds in miles per hour? Express your answer as a decimal to the nearest hundreth. How do I solve this?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Convert 8 days , 22 hours, 46 minutes, and 2 seconds to seconds. This looks like
8%2A24%2A60%2A60%2B22%2A60%2A60%2B46%2A60%2B2=773%2C162%0D%0A So 8 days , 22 hours, 46 minutes, and 2 seconds is equal to 773,162 seconds. Do the same thing to the other racer. Convert 9 days, 11 hours, 11 minutes, and 36 seconds.
9%2A24%2A60%2A60%2B11%2A60%2A60%2B11%2A60%2B36=817%2C896%0D%0ASo the other racer did the race in 817,896 seconds. Plug these 2 times into the equation
d=rt where d=1112
Racer 1
1112=r%28773162%29
1112%2F773162=r
r=0.00144
So the first racer's average speed was 0.00144 mi/sec which converts to 5.04 mi/hr
Racer 2
1112=r%28817896%29
1112%2F817896=r
r=0.00136
So the second racer's average speed was 0.00136 mi/sec which converts to 4.896 mi/hr.
Now we must find the positive difference between the two speeds
abs%285.04-4.896%29=0.144
So the positive difference in speed is 0.144 mi/hr. Of course all of these figures are approximate values.