SOLUTION: Nickola swam at a rate of 2 km/hr and ran at a rate of 11 km/hr for a total distance traveled of 68.5 km. If he completed the race in 9.5 hours, how long did he take
Question 1137307: Nickola swam at a rate of 2 km/hr and ran at a rate of 11 km/hr for a total distance traveled of 68.5 km. If he completed the race in 9.5 hours, how long did he take to complete each part of the race? Found 2 solutions by josgarithmetic, mananth:Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
speed time distance
swam 2 9.5-x 2(9.5-x)
ran 11 x 11x
total 9.5 68.5
-
.
. Answer by mananth(16946) (Show Source): You can put this solution on YOUR website! Nickola swam at a rate of 2 km/hr --- let time be x hours
and ran at a rate of 11 km/hr -------- let time be y hours
total distance traveled of 68.5 km. Distance = speed x time
So 2x+11y =68.5 .........(1)
he completed the race in 9.5 hours,
Time swimming + time running = 9.5 hours
x+y=9 ................ (2)
time swimming x hours
time running y hours
x + y = 9.5 .............1
2 x + 11 y = 68.5 .............2
Eliminate y
multiply (1)by -11
Multiply (2) by 1
-11 x -11 y = -104.5
2 x 11 y = 68.5
Add the two equations
-9 x = -36
/ -9
x = 4
plug value of x in (1)
x + y = 9.5
4 + y = 9.5
y = 9.5 -4
y = 5.5