Nickola swam at a rate of 4 km/hr and ran at a rate of 9 km/hr for a total distance traveled of 57.5 km. If he completed the race in 7.5 hours, how long did he take to complete each part of the race

let x hours nickolas swam and y hours nickolas ran

The system of equations will be:

4x+9y=57.5

x+y=7.5

From the second equation x=7.5-y

Substitute this into first equation:

4(7.5-y)+9y=57.5

30-4y+9y=57.5

5y=27.5

y=5.5

x=7.5-y=7.5-5.5=2

so, 2 hours nickolas swam and 5.5 hours nickolas ran

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