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Popular >

In 24 minutes, Daniel can run 3 miles. At this rate, how many minutes will it take Daniel to run 26.2 miles?

Solution

In 24 minutes, Daniel can run 3 miles. At this rate, how many minutes will it take Daniel to run 26.2 miles?

Solution

trip 2 time : 209.6

Solution steps

Given Time:

trip 1 : 24

Given Distance:

trip 1 : 3

trip 2 : 26.2

Represent the speed in terms of

x :

trip 1 : x

trip 1 Speed x Time 24 Distance 3

Write an equation for trip 1Distance = Speed

\cdot

Time

3 = x \cdot 24

Solve for

x, 3 = x \cdot 24 : 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 26.2

Write an equation for trip 2Distance = Speed

\cdot

Time

26.2 = \frac{1}{8} y

Solve for

y, 26.2 = \frac{1}{8} \cdot y : y = 209.6

trip 2 time : 209.6

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