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Popular >

Lisa hikes 9 miles in 2 hours. At this rate how far does she hike in 16 hours?

Solution

Lisa hikes 9 miles in 2 hours. At this rate how far does she hike in 16 hours?

Solution

trip 2 distance : 72

Solution steps

Given Time:

trip 1 : 2

trip 2 : 16

Given Distance:

trip 1 : 9

Represent the speed in terms of

x :

trip 1 : x

trip 1 Speed x Time 2 Distance 9

Write an equation for trip 1Distance = Speed

\cdot

Time

9 = x \cdot 2

Solve for

x, 9 = x \cdot 2 : x = \frac{9}{2}

speed : \frac{9}{2}

Represent the distance in terms of

y :

trip 2 : y

trip 2 Speed \frac{9}{2} Time 16 Distance y

Write an equation for trip 2Distance = Speed

\cdot

Time

y = \frac{9}{2} \cdot 16

Solve for

y, y = \frac{9}{2} \cdot 16 : y = 72

trip 2 distance : 72

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