Answer:
Kyle drives 14 hours and Sally drives 21 hours.
Explanation:
We can determine how long did each person drive using a system of equations, where
- S represents the amount of time Sally drives,
- and K represents the amount of time Kyle drives.
First equation:
We know that Sally drives 7 more hours than Kyle:
Sally's driving time = Kyle's driving time + 7 hours
Thus, our first equation is given by:
S = K + 7
Second equation:
We also know that together, the pair drive a total of 35 hours:
Sally's driving time + Kyle's driving time = 35 hours
Thus, our second equation is given by:
S + K = 35
Method to solve: Substitution:
Solving for K:
Now we can solve for K by substituting K + 7 for S in the second equation:
K + 7 + K = 35
(2K + 7 = 35) - 7
(2K = 28) / 2
K = 14
Thus, Kyle drives 14 hours.
Solving for S:
Now we can solve for S by plugging in 14 for K in the first equation:
S = 14 + 7
S = 21
Thus, Sally drives 21 hours.