Robert climbed $775$ steps in $12 \frac{1}{2}$ minutes. $\newline$ How many steps did he average per minute? $\newline$ steps per minute

Full solution

Q. Robert climbed

775

steps in

12 \frac{1}{2}

minutes.

\newline

How many steps did he average per minute?

\newline

steps per minute

Identify Total Steps and Time: Identify the total number of steps and the total time taken. $\newline$ Robert climbed $775$ steps in $12\frac{1}{2}$ minutes. $\newline$ Total steps = $775$ $\newline$ Total time = $12\frac{1}{2}$ minutes
Convert Mixed Number to Improper Fraction: Convert the mixed number for minutes into an improper fraction to make the division easier. $\newline$ $12\frac{1}{2}$ minutes is the same as $\frac{12 \times 2 + 1}{2} = \frac{25}{2}$ minutes.
Calculate Average Steps per Minute: Calculate the average number of steps per minute. $\newline$ Average steps per minute = $\frac{\text{Total steps}}{\text{Total time}}$ $\newline$ Average steps per minute = $\frac{775}{(25/2)}$
Perform Division for Average Steps: Perform the division to find the average steps per minute. $\newline$ Average steps per minute = $775 \times \left(\frac{2}{25}\right)$ $\newline$ Average steps per minute = $\frac{1550}{25}$ $\newline$ Average steps per minute = $62$