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?

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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) About Me  (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:
+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+5%2C%0D%0A++++38%5Cx+%2B+28%5Cy+=+160+%29%0D%0A++

Any system of equations:


has solution

or



(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