SOLUTION: Kylie started biking to the restaurant traveling 12 mph, after some time the bike got a flat so Kylie walked the rest of the way, traveling 2 mph. If the total trip to the restaura

Algebra ->  Triangles -> SOLUTION: Kylie started biking to the restaurant traveling 12 mph, after some time the bike got a flat so Kylie walked the rest of the way, traveling 2 mph. If the total trip to the restaura      Log On


   

Question 1046384: Kylie started biking to the restaurant traveling 12 mph, after some time the bike got a flat so Kylie walked the rest of the way, traveling 2 mph. If the total trip to the restaurant took 9 hours and it was 48 miles away, how long did Kylie travel at each speed?
_________ hours at 12 mph

_________ hours at 2 mph
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
                 SPEED            TIME        DISTANCE
BIKE              12
WALK               2
Totals                             9            48

Uniform Rates for Travel, RT=D for relating rate, time, distance.
Know what to do? 

                 SPEED            TIME        DISTANCE
BIKE              12               x           12x
WALK               2               y            2y
Totals                             9            48

How about now?


highlight_green%28system%28x%2By=9%2C12x%2B2y=48%29%29

system%28x%2By=9%2C6x%2By=24%29

%286x%2By%29-%28x%2By%29=24-9, to quickly eliminate the y.
5x=15
highlight%28x=3%29--------three hours at biking speed

y=9-x
y=9-3
highlight%28y=6%29---------six hours at walking speed

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

Kylie started biking to the restaurant traveling 12 mph, after some time the bike got a flat so Kylie walked the rest of the way, traveling 2 mph. If the total trip to the restaurant took 9 hours and it was 48 miles away, how long did Kylie travel at each speed?
_________ hours at 12 mph

_________ hours at 2 mph
Let time at 12 mph be T

Then time at 2 mph = 9 - T

WSe then get the following DISTANCE equation: 12T + 2(9 - T) = 48

12T + 18 - 2T = 48

10T = 30

T, or time at 12 mph = 30%2F10, or highlight_green%28matrix%281%2C2%2C+3%2C+hours%29%29

You should be able to find the time, @ 2 mph.