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Scott likes to run long distances. He can run 20km in 85 minutes. He wants to know how many minutes (m) it will take him to run 52km at the same pace.
How long will it take Scott to run 52km?

◻ minutes

Scott likes to run long distances. He can run $20\,\text{km}$ in $85\,\text{minutes}$ . He wants to know how many minutes $(m)$ it will take him to run $52\,\text{km}$ at the same pace. $\newline$ How long will it take Scott to run $52\,\text{km}$ ? $\newline$ $\square\,\text{minutes}$

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Solve proportions: word problems

Full solution

Q. Scott likes to run long distances. He can run

20\,\text{km}

in

85\,\text{minutes}

. He wants to know how many minutes

(m)

it will take him to run

52\,\text{km}

at the same pace.

\newline

How long will it take Scott to run

52\,\text{km}

?

\newline

\square\,\text{minutes}

Calculate Time for $52$ km: Now, we'll calculate the time it will take him to run $52$ km at the same pace. $\newline$ Time to run $52$ km = Pace per kilometer $\times$ Distance $\newline$ Time to run $52$ km = $4.25$ minutes per km $\times$ $52$ km $\newline$ Time to run $52$ km = $221$ minutes

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