FRODO AND SAM are 17 miles apart and are walking towards each other they meet in 4hrs. find frodos rate if frodo walks 1mph faster than sam.
The equation that I get from this is:
x+(x+1)x4=17
if you solve it, Frodo's equation would be the (x+1) as it is 1 mph faster than Sam (x). Does that help?
I think you will get a better result from
(x + x+1)4=17
It's confusing if you use x for both multiplication and a variable.
And, as we are looking for Frodo's rate, I'd use
4(f + f-1) = 17
To solve this problem, we can use the formula: distance = rate * time.
Let's set up some variables to represent the unknowns:
- Let's call Frodo's rate "r" (in miles per hour).
- Since Frodo is walking 1 mph faster than Sam, Sam's rate will be "r - 1" (in miles per hour).
- The time it takes for them to meet is given as 4 hours.
Now, let's calculate the distances each person covers using the formula mentioned earlier:
Distance covered by Frodo = Frodo's rate * time = r * 4
Distance covered by Sam = Sam's rate * time = (r - 1) * 4
Since they are walking towards each other, the sum of their distances covered will be equal to the initial distance between them, which is 17 miles:
r * 4 + (r - 1) * 4 = 17
Now, we can simplify the equation:
4r + 4r - 4 = 17
8r - 4 = 17
8r = 21
r = 21/8
r = 2.625
Therefore, Frodo's rate is approximately 2.625 miles per hour.