SOLUTION: Nickola swam at a rate of 2 ​km/hr and ran at a rate of 9 ​km/hr for a total distance traveled of  46.5 km. If he completed the race in 7.5 ​hours, ho

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Question 1128848: Nickola swam at a rate of 2 ​km/hr and ran at a rate of 9 ​km/hr for a total distance traveled of  46.5 km. If he completed the race in 7.5 ​hours, how long did he take to complete each part of the​ race?
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
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Let t be the time (in hours) he spent running.

Then the time he swam was (7.5 - t) hours.


The total distance equation then is


    9*t+ 2*(7.5-t) = 46.5


    9t + 15 - 2t = 46.5

    7t = 46.5 - 15 = 31.5

    t = 31.5%2F7 = 4.5.


Answer.  He ran for 4.5 hours and swam for 7.5-4.5 = 3 hours.


Check.   9*4.5 + 2*3 = 46.5 kilometers.    ! Correct !

Solved.