SOLUTION: Nickola swam at a rate of 3 ​km/hr and ran at a rate of 15 ​km/hr for a total distance traveled of  88.5 km. If he completed the race in 7.5 ​hours, how long did he take

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Question 1158408: Nickola swam at a rate of 3 ​km/hr and ran at a rate of 15 ​km/hr for a total distance traveled of  88.5 km. If he completed the race in 7.5 ​hours, how long did he take to complete each part of the​ race?
The time Nickola spent swimming is ? ​hours, and the time he spent running is
? hours.
Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose she swam for x hours and ran for y hours. system%28x%2By=7.5%2C3x%2B15y=88.5%29
Solved by pluggable solver: System of Equations

We have the system of equations
system%281+x%2B1+y=7.5%2C3+x%2B15+y=88.5%29. Solving the 2 equations for y gets you
y= -(1) x+(7.5)
y=-(0.2) x+(5.9) So -(1) x+(7.5)=-(0.2) x+(5.9). -0.8 x+ 7.5=5.9 -0.8 x=-1.6 highlight%28x=2%29 Plug this value into either equation to find that highlight%28y=5.5%29.

She spent 2 hours swimming and 5.5 hours running.