Answer:
.
Step-by-step explanation:
Use the distance formula
d = vt
where:
d = distance (miles)
v = speed (mph)
t = time (hours)
Let x = run time
Let y = bike time
Total time: x + y = 4
Using these variables we can write an equation representing the formula.
dTotal = drun + dbike
49 = 9x + 22y
Next, we get the equation in terms of only x or y. We'll get it in terms of x.
49 = 9x +22(4 - x)
49 = 9x + 88 - 22x
-39 = -13x
3 = x
Plug in this value of x into the variables to find the distance for each part.
run distance = 9x
bike distance = 22(4 - x)
