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A reindeer runs 2014 miles in 3 hours. At that rate, how many miles does it run in 1 hour?

Solution

A reindeer runs 2014 miles in 3 hours. At that rate, how many miles does it run in 1 hour?

Solution

trip 2 distance : 671 \frac{1}{3}

Solution steps

Given Time:

trip 1 : 3

trip 2 : 1

Given Distance:

trip 1 : 2014

Represent the speed in terms of

x :

trip 1 : x

trip 1 Speed x Time 3 Distance 2014

Write an equation for trip 1Distance = Speed

\cdot

Time

2014 = x \cdot 3

Solve for

x, 2014 = x \cdot 3 : x = \frac{2014}{3}

speed : \frac{2014}{3}

Represent the distance in terms of

y :

trip 2 : y

trip 2 Speed \frac{2014}{3} Time 1 Distance y

Write an equation for trip 2Distance = Speed

\cdot

Time

y = \frac{2014}{3} \cdot 1

Solve for

y, y = \frac{2014}{3} \cdot 1 : y = \frac{2014}{3}

Convert improper fractions to mixed numbers:

\frac{2014}{3} = 671 \frac{1}{3}

trip 2 distance : 671 \frac{1}{3}

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