Joe is training for a triathlon by biking and running. He would like to run 24 miles and bike 36 miles total.
He plans to run and bike the same amount on each day of his training.
What is the greatest number of days that Joe can spread out his training over and accomplish his total of 24 miles running and 36 miles biking?
24 = 8*3
32 = 8*4
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To find the greatest number of days that Joe can spread out his training and accomplish his goal, we need to determine the common distance that Joe will run and bike each day.
Let's assume Joe plans to run and bike "x" miles each day.
Since Joe plans to run and bike the same amount each day, we can set up the following equation:
Running distance + Biking distance = Total distance
x + x = 24 + 36
Simplifying the equation, we get:
2x = 60
x = 60/2
x = 30
So, Joe plans to run and bike 30 miles each day.
Now, to find the number of days Joe can spread out his training, we divide the total distance by the distance covered each day:
Number of days = (Total running distance + Total biking distance) / (Running distance + Biking distance)
Number of days = (24 + 36) / (30 + 30)
Number of days = 60 / 60
Number of days = 1
Therefore, Joe can spread out his training over 1 day to accomplish his total of 24 miles running and 36 miles biking.