Question

Edwin walks for 2 1/2 hours. He walks 1 2/3 miles in the first hour, 1 3/4 miles in the second hour and 1/4 of the total distance in the last 1/2 hour.What is the total distance Edwin walks?

Answer 1

The total distance is 41/9 = 4 5/9 miles

Explanation:

Total time is 2 1/2 hours.

First hour, he walks 1 2/3 = 5/3 miles.

Second hour, he walks 1 3/4 = 7/4 miles.

The last half hour he walks 1/4 of total distance. If we call total distance x.

`(5)/(3) + (7)/(4) +(x)/(4) = x`

Now, we can eliminate the denominator, multiplying by four and by three.

`5*4 + 7*3 + 3*x = 4*3*x\\20 + 21 + 3x = 12 x\\41 +3x = 12x \\41 = 12x - 3x\\41 = 9x\\x = 41/9\\x = 4 (5)/(9)`

Total distance is 4 5/9 miles

Answer 2

The mixed number form is 6 2/3
The decimal form is 6.6
The exact form is 20/3