Answer:
Step-by-step explanation:
Let x represent the rate of the first hiker.
if one hiker walks 1.1 mph fast than the other, it means that the rate of the second hiker would be x + 1.1
Two hikers are 33 miles apart and walking towards each other. They meet in 10 hours. This means that in 10 hours, both hikers travelled a total distance of 33 miles.
Distance = speed × time
Distance covered by the first hiker in 10 hours would be
x × 10 = 10x
Distance covered by the second hiker in 10 hours would be
10(x + 1.1) = 10x + 11
Since the total distance covered by both hikers is 33 miles, then
10x + 10x + 11 = 33
20x + 11 = 33
20x = 33 - 11 = 22
x = 22/20 = 1.1 miles per hour
The rate of the second hiker would be
1.1 + 1.1 = 2.2 miles per hour.
