Problema Solution

Rachel drove 3 more hours than Kim did on her trip to Texas. If the trip took 37 hours, how long did Rachel and Kim each drive?

Answer provided by our tutors

let


'r' represent the time the Rachel drove to Texas


'k' represent the time the Kim drove to Texas


Rachel drove 3 more hours than Kim did on her trip to Texas:


r = k + 3


the trip took 37 hours:


r + k = 37


by solving the system of equations:


r = k + 3

r + k = 37


we find


r = 20 hr


k = 17 hr


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Rachel drove 20 hours while Kim drove 17 hours.