SOLUTION: While training for a biatholon race, Kevin covered a total distance of 9 km by swimmmiing for 45 min and running for 20 min. The next day he swam for 30 min and ran for 40 min, co

Question 364791: While training for a biatholon race, Kevin covered a total distance of 9 km by swimmmiing for 45 min and running for 20 min. The next day he swam for 30 min and ran for 40 min, covering 14 km. Find his rates (in km/h) for swimming and running. (Assume these rates are constant.)
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = his rate swimming in km/hr
Let = his rate running in km/hr
given:
(1) km
(2) km
Multiply both sides of (1) by
and both sides of (2) by
(1)
(2)
Subtract (2) from (1)
(1)
(2)

and
(2)

He swims 4 km/hr and runs 18 km/hr
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