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The 2007 Iditarod follows the southern route. Assume the length of the race is 1131 miles. If the winning musher and sled dog team have a mean speed of 5.3 miles per hour, what is their projected finish time? Express your answer in the form w days: x hours: y minutes: z seconds.

2007-03-11 11:15:04 · 4 answers · asked by Anonymous in Science & Mathematics Mathematics

4 answers

1131/5.3=213.39623hours

Divide by 24 = 8.8915094 days So 8 days.

0.8915094*24 = 21.396226 hours So 21 hours

0.396226*60 = 23.773584 minutes So 23 minutes

0.773584*60 = 46.4 seconds

Time for the race is 8 days, 21 hours, 23 minutes and 46 seconds.

2007-03-11 11:22:10 · answer #1 · answered by gumtrees 3 · 0 0

Divide the distance by the mean speed to get the time

1131 M / 5.3 M/h = 213 + 21/53 hours

213 hours are 8 days + 21 hours

21/53 hours are 23 + 41/53 minutes

41/53 minutes = 46 + 22/53 seconds

So, their finish time is 8 days, 21 hours, 23 minutes, and 46 + 22/53 seconds.

2007-03-11 18:29:02 · answer #2 · answered by Amit Y 5 · 0 0

Hey,

This is one method to do this;

You are looking for the TIME , so solve for time.
Take the race length and divide it by the mean speed:
1131 miles / 5.3 mi/hr = 213.3962 hours (hrs)
Now simply reduce to the lower units of time.
x days = 213.3962 hrs ; A day is 24 hrs so,
x 24 hours = 213.3962 hrs OR x (days) = 213.3962 hrs/24 hrs. This will be 8.89 days.
Since will will be using complete units such as day, hours., etc, we will simply write W = 8 days. The .89 will be used to compute the hours and such.
0.89 days x 24 hours/day = x hours = 21.39 (hours). We'll use just 21 hours as X.
Again, take the hour portion as X and continue with the .39 hrs.
0.39 hrs x 60 min/hr = y minutes = 23.77 minutes or just 23 min.
And finally, 0.77 min X 60 seconds/min = 46.41 seconds

So it would be: 8 days, 21 hours, 23 minutes, and 46 (46.41) seconds.

Happy "mushing"!

2007-03-11 18:43:13 · answer #3 · answered by nostatic 2 · 0 0

d = rt
d/r = t
1131mi/5.3mph = 213.396226415hr
213.396226415/24 = 8.89150943396days
8 days
0.89150943396days * 24hr/1day = 21.396226415hr
21hr
0.396226415hr * 60min/1hr = 23.7735849024min
23min
0.7735849024min * 60sec/1min = 46.415094144sec
46sec

2007-03-11 18:39:25 · answer #4 · answered by Darlene 4 · 0 0

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