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 73.5 km. If he completed the race in 6.5 ​hours, how long
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Question 1086593: Nickola swam at a rate of 3 km/hr and ran at a rate of 15 km/hr for a total distance traveled of 73.5 km. If he completed the race in 6.5 hours, how long did he take to complete each part of the race?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = time in hrs to complete the
swimming part of the race
= time in hrs to complete the
running part
Let = distance in km that he swam
= distance in km that he ran
---------------------------------------
Equation for the swimming part:
(1)
Equation for the running part:
(2)
---------------------------------------
Plug (1) into (2)
(2)
(2)
(2)
(2)
and
-----------------------
He took 2 hrs to finish the swimming part
He took 4.5 hrs to finish the running part
-----------------------
check:
(1)
(1)
(1) km
and
(2)
(2)
(2)
(2)
(2)
OK
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