Question

Nickola swam at a rate of 2 km/hr and ran at a rate of 15 km/hr for a total distance traveled of 90.5 km. If he completed the race in 9.5 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.


I NEED HELP PLEASE
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Answer 1

Nickola swam for 4 hours and ran for 5.5 hours

Explanation:

To solve this, we can use a system of equations.

First we can set up a system of equations like this

`2s+15r=90.5` and

`s+r=9.5`

Next we will use substitution to solve for one of the values. We can solve the second equation such that

`s=9.5-r`

Now we can substitute this into the first equation for s

`2(9.5-r)+15r=90.5`

Now we can solve for r

`19-2r+15r=90.5`

`19+13r=90.5`

`13r=71.5`

`r=5.5`

Now we can plug this value into the second equation to get the value for s

`s+5.5=9.5`

`s=4`

Now we can plug these values into the first equation to make sure we have the right values

`2(4)+15(5.5)=90.5`

`90.5=90.5`