Answer :
The slower one walks at a rate of 2.2 mi/h, and the faster one walks at a rate of 3.3 mi/h
How to find the rate of the hikers?
The given information is the following:
- The distance between the hikers is 33 miles.
- They meet in 6 hours.
- One of them walks 1.1 miles per hour faster than the other.
If we define x as the rate of the slower one and y as the rate of the faster one, then we can write the equation:
(x + y)*6h = 33mi
And now we can write:
y = x + 1.1mi/h
Replacing that we get the linear equation:
(x + x + 1.1mi/h)*6h = 33mi
(2x + 1.1mi/h)*6h = 33mi
(2x + 1.1 mi/h) = 33mi/6h = 5.5mi/h
2x = 5.5mi/h - 1.1mi/h = 4.4mi/h
x = (4.4mi/h)/2 = 2.2 mi/h
The slower one walks at a rate of 2.2 mi/h, and the faster one walks at a rate of 3.3 mi/h.
If you want to learn more about linear equations:
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