Let x = bike speed and x+12 = car speed. Since they both go the same distance:
2/3x = 1/3(x+12)
Solve for x.
2/3x = 1/3(x+12)
Solve for x.
First, let's calculate the time it takes for Ashley to drive to work: 1/3 of an hour.
Next, let's determine the distance she travels when driving to work. We know the formula speed = distance/time. Since she drives 12 miles per hour faster than she rides her bike, the speed at which she drives is (x + 12) miles per hour. Plugging in the values, we get:
speed = distance/time
(x + 12) = distance/(1/3)
Since the given time is expressed in 1/3 of an hour, we can rewrite this as:
(x + 12) = distance/(1/3)
(x + 12) = 3 * distance
Now, let's calculate the time it takes for Ashley to ride her bike to work: 2/3 of an hour.
Next, let's determine the distance she travels when riding her bike. We use the same formula:
speed = distance/time
x = distance/(2/3)
x = 3 * distance
Now, we have two equations:
(x + 12) = 3 * distance
x = 3 * distance
To solve this system of equations, we can equate the right sides of the equations:
(x + 12) = x
Simplifying this equation, we get:
12 = 0
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