Answer:
slow hiker rate= 1.1mph and fast hiker rate= 5.5 mph
Step-by-step explanation:
lets consider the Speed of the slow hiker =x
Then Speed of fast hiker =x+4.4
As we know that distance is the product of speed and time
therefore,
Distance covered by slow hiker in 5 hours = 5x km
Distance covered by fast hiker in 5 hours=5 (x+4.4)=5x+22 km
As they are are 33 miles apart , therefore
5x + 5x+22 = 33
10x = 33-22
10x = 11
x =11/10 => 1.1
Rate of slow hiker is x i.e 1.1mph
Rate of fast hiker = x+4.4 => 5.5 mph
Answer:
slower hiker's speed = 1.1 mph
faster hiker's speed = 5.5 mph
Step-by-step explanation:
Extracting the key information from the question:
*** Two hikers are 33 miles apart and are walking towards each other.
*** One of them walks 4.4 mph faster than the other and later met themselves in 5 hours.
*** We are required to find the speed of each of the hikers.
Speed = distance/time
Let us use "x" to represent the slower speed. Since one of the hikers was 4.4 mph faster than the other hiker, we can represent the faster speed with x+4. Now, if they met themselves in 5 hours, even though they were 33 miles apart initially, then we can represent the situation with the given equation:-
(x mph × 5hours) + [(x+4.4)×5] = 33 miles
5x + (5x + 22) = 33
5x + 5x + 22= 33
10x + 22 = 33
10x = 33-22
10x = 11
x = 11/10
x = 1.1mph (speed of slower hiker)
The speed of the faster hiker = x + 4.4
= 1.1 + 4.5
= 5.5mph
