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

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Solve proportions: word problems

Full solution

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

20 \mathrm{~km}

in

85

minutes. He wants to know how many minutes

(m)

it will take him to run

52 \mathrm{~km}

at the same pace.

\newline

How long will it take Scott to run

52 \mathrm{~km}

?

\newline

minutes

Calculate Scott's Pace: Determine Scott's pace in minutes per kilometer. $\newline$ To find out how long it will take Scott to run $52\,\text{km}$ , we first need to calculate his running pace based on the information given. $\newline$ $\text{Pace} = \frac{\text{Time for } 20\,\text{km}}{\text{Distance of } 20\,\text{km}}$ $\newline$ $\text{Pace} = \frac{85\,\text{minutes}}{20\,\text{km}}$
Find Scott's Pace: Calculate Scott's pace. $\newline$ Now we perform the calculation to find out Scott's pace. $\newline$ $\text{Pace} = \frac{85}{20}$ $\newline$ $\text{Pace} = 4.25$ minutes per kilometer
Calculate Time for $52$ km: Use Scott's pace to calculate the time it will take him to run $52$ km. $\newline$ Now that we know Scott's pace, we can calculate how long it will take him to run $52$ km. $\newline$ $\text{Time for 52km} = \text{Pace} \times \text{Distance of 52km}$ $\newline$ $\text{Time for 52km} = 4.25 \, \text{minutes/km} \times 52 \, \text{km}$
Perform Time Calculation: Perform the calculation to find the time for $52\,\text{km}$ . Now we perform the calculation to find out the time it will take Scott to run $52\,\text{km}$ . $\text{Time for } 52\,\text{km} = 4.25 \times 52$ $\text{Time for } 52\,\text{km} = 221\,\text{minutes}$

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