Question

Flo sets a goal of walking 12,000 total steps per day. Flo's normal routine involves walking 6,000 steps perday. If Flo walks 100 steps per minute, how many extra minutes should she walk per day beyond her normalroutine?(A) 40 minutesB) 50 minutesC) 90 minutesD) 60 minutes

Answer 1

`B)50\min`

1) Considering that Flo has a goal of walking 12,000 steps per day and 1 day has 24 hours we can write out the following relation:

`\begin{gathered} 12,000---24h \\ 12,000----1440\min \end{gathered}`

So Flo walks a total of 12,000 per 1440 minutes.

2) On the other hand, Flo has a routine of 6,000 steps per day and since her speed is 100 steps per minute, we can write out the following:

`\begin{gathered} 6000 \\ (12000)/(100)=120\text{ s/m} \\ 12000-6000=6000 \\ 120----1 \\ 6000---x \\ x=(6000)/(120)=50\min \end{gathered}`

Note that since Flo walks 100 steps per minute, to fulfill her goal she must walk in a day 120 steps per minute.

Since she usually does 6000 steps/day we can write out a proportion and then find the following ratios.

So, Flo needs an extra walking of 50 minutes