SOLUTION: Zoha jogs 3 miles per hour faster than she walks. She jogs for 2 miles and then walks for 2 miles. If the total time of her outing is one hour, find the rate at which she walks and
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-> SOLUTION: Zoha jogs 3 miles per hour faster than she walks. She jogs for 2 miles and then walks for 2 miles. If the total time of her outing is one hour, find the rate at which she walks and
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Question 190997: Zoha jogs 3 miles per hour faster than she walks. She jogs for 2 miles and then walks for 2 miles. If the total time of her outing is one hour, find the rate at which she walks and jogs? Answer by orca(409) (Show Source):
You can put this solution on YOUR website! Let x represent the speed at which she walks, then the speed at which she jogs is x +3.
The time spent on joging is
The time spent on walking is .
The total time spent is
We have already been given the total time spent: one hour.
So
Solving for x, we have multiply both sides by x(x+3)
So
x=3
or
x=-2(reject this negative solution)
So her walking speed is 3 miles/hour, her joging speed is x + 3 = 6 miles/hour.