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Popular Word Problems >

Anna ran 1/2 miles in 4 minutes. At that rate, how long would it take her to run 2 miles?

Solution

A nna r an 1/2 mi l es in 4 min u t es . A t t ha t r a t e, h o w l o n g w o u l d i t t ak e h er t o r u n 2 mi l es ?

Solution

trip 2 time : 16

Solution steps

Given Time:

trip 1 : 4

Given Distance:

trip 1 : \frac{1}{2}

trip 2 : 2

Represent the speed in terms of

x :

trip 1 : x

trip 1 Speed x Time 4 Distance \frac{1}{2}

Write an equation for trip 1Distance = Speed

\cdot

Time

\frac{1}{2} = x \cdot 4

Solve for

x, \frac{1}{2} = x \cdot 4 : x = \frac{1}{8}

speed : \frac{1}{8}

Represent the time in terms of

y :

trip 2 : y

trip 2 Speed \frac{1}{8} Time y Distance 2

Write an equation for trip 2Distance = Speed

\cdot

Time

2 = \frac{1}{8} y

Solve for

y, 2 = \frac{1}{8} \cdot y : y = 16

trip 2 time : 16

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