SOLUTION: Olivia can ride her bike 4 miles per hour faster than Ted can ride his bike. If Olivia can go 30 miles in the same time that Ted can go 15 miles, what are their speeds?

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Question 1191072: Olivia can ride her bike 4 miles per hour faster than Ted can ride his bike. If Olivia can go 30 miles in the same time that Ted can go 15 miles, what are their speeds?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
Each the same time, x.

Olivia, %28r%2B4%29x=30
Ted, rx=15

%28r%2B4%29%2Fr=30%2F15=2
r%2B4=2r
r=4-----------Ted's speed

8-----------Olivia's speed

Answer by ikleyn(52864) About Me  (Show Source):
You can put this solution on YOUR website!
.
Olivia can ride her bike 4 miles per hour faster than Ted can ride his bike.
If Olivia can go 30 miles in the same time that Ted can go 15 miles, what are their speeds?
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Let x = Ted' speed, in miles per hour.

Then the Alivia' speed is (x+4) mph.


Write the time equation

    30%2F%28x%2B4%29 = 15%2Fx    hours.


Solve it. Start cross-multiplying; then simplify

    30x = 15*(x+4)

    30x = 15x + 60

    30x - 15x = 60

       15x    = 60

         x    = 60/15 = 4.


ANSWER.  Ted' speed is 4 mph.  Olivia' speed is 4+4 = 8 mph.

Solved.