. In the annual walkathon, Lee jogs for 5 3/4 miles more than he walks. If he travelled a total of 15 miles, how many miles did he walk?
|****jog***|***walk***|*jogged 5.34 miles*|
The total is 15 miles.
If you take off 5.34 miles from the total, then Lee walked as much as he jogged, which means that the walk can be calculated by
walk=(15-5.34)/2
9 1/4 miles walked
To solve this problem, we need to set up an equation based on the information given. Let's define the number of miles Lee walks as 'x'.
According to the problem, Lee jogs for 5 3/4 miles more than he walks. So the number of miles Lee jogs would be 'x' plus 5 3/4.
We also know that the total distance covered by Lee (walked + jogged) is equal to 15 miles. So we can write the equation:
x + (x + 5 3/4) = 15
To solve this equation, we need to combine like terms:
2x + 5 3/4 = 15
Next, we can subtract 5 3/4 from both sides of the equation to isolate the 2x term:
2x = 15 - 5 3/4
To facilitate the subtraction, we need to convert the mixed number, 5 3/4, to an improper fraction. The improper fraction equivalent is (4*5 + 3)/4 = 23/4:
2x = 15 - 23/4
Now we need to find a common denominator to subtract:
2x = (60/4) - (23/4)
We can subtract using the common denominator:
2x = 37/4
Finally, we can solve for 'x' by dividing both sides of the equation by 2:
x = (37/4) / 2
Dividing a fraction by a whole number is the same as multiplying the fraction by the reciprocal of the whole number. Therefore:
x = (37/4) * (1/2)
Multiplying the fractions:
x = 37/8
Hence, Lee walked 37/8 miles or approximately 4.625 miles.