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Adrienne can walk 1/3 of a mile in 1/6 of an hour. How many miles can she walk in 3.5 hours if she walks at a constant speed?

Solution

Adrienne can walk 1/3 of a mile in 1/6 of an hour. How many miles can she walk in 3.5 hours if she walks at a constant speed?

Solution

trip 2 distance : 7

Solution steps

Given Time:

trip 1 : \frac{1}{6}

trip 2 : 3.5

Given Distance:

trip 1 : \frac{1}{3}

Represent the speed in terms of

x :

trip 1 : x

trip 1 Speed x Time \frac{1}{6} Distance \frac{1}{3}

Write an equation for trip 1Distance = Speed

\cdot

Time

\frac{1}{3} = x \frac{1}{6}

Solve for

x, \frac{1}{3} = x \cdot \frac{1}{6} : x = 2

speed : 2

Represent the distance in terms of

y :

trip 2 : y

trip 2 Speed 2 Time 3.5 Distance y

Write an equation for trip 2Distance = Speed

\cdot

Time

y = 2 \cdot 3.5

Solve for

y, y = 2 \cdot 3.5 : y = 7

trip 2 distance : 7

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