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Patty walked her dog 1/2 mile in 10 minutes. At this rate, how many miles would she walk her dog in 50 minutes?

Solution

Patty walked her dog 1/2 mile in 10 minutes. At this rate, how many miles would she walk her dog in 50 minutes?

Solution

trip 2 distance : 2.5

Solution steps

Given Time:

trip 1 : 10

trip 2 : 50

Given Distance:

trip 1 : \frac{1}{2}

Represent the speed in terms of

x :

trip 1 : x

trip 1 Speed x Time 10 Distance \frac{1}{2}

Write an equation for trip 1Distance = Speed

\cdot

Time

\frac{1}{2} = x \cdot 10

Solve for

x, \frac{1}{2} = x \cdot 10 : x = \frac{1}{20}

speed : \frac{1}{20}

Represent the distance in terms of

y :

trip 2 : y

trip 2 Speed \frac{1}{20} Time 50 Distance y

Write an equation for trip 2Distance = Speed

\cdot

Time

y = \frac{1}{20} \cdot 50

Solve for

y, y = \frac{1}{20} \cdot 50 : y = \frac{5}{2}

\frac{5}{2} = 2.5

trip 2 distance : 2.5

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