SOLUTION: A motorcyclist travelled 160Km in 5 Hrs. He travelled some distance at 38KM/Hr and rest at 28Km/Hr. what distances he travelled at both speeds?

Question 407294: A motorcyclist travelled 160Km in 5 Hrs. He travelled some distance at 38KM/Hr and rest at 28Km/Hr. what distances he travelled at both speeds?
Answer by graphmatics(170) (Show Source): You can put this solution on YOUR website!
Let x be the amount of time at 38KM/Hr and y be the amount of time at 28KM/hr then
x + y = 5 and
38*x + 28*y = 160
So we solve this system of equations

Solved by pluggable solver: Linear System solver (using determinant)

Solve:

Any system of equations:

has solution

(x=2, y=3}

So the amount of time he traveled at 38KM/hr is 2, hence the distance traveled is 2hr*38KM/hr or 76KM
At 38KM/hr we get
3hr*28KM/hr or 84KM

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