Question

Johanna can jog $3,000$ feet in $5$ minutes. If she jogs at the same rate, how many feet can she jog in $8$ minutes?

Answer 1

Hint: Here, it is given that Johanna can jog $3,000$ feet in $5$ minutes. We have to find if she jogs at the same rate, then how many feet can she jog in $8$ minutes. For this, first we can calculate how many feet she can jog in $1$ minute if she jogs at the same rate. For calculating the distance for $1$ minute, we have to divide the total distance with time taken. Next, calculate how many feet she can jog in $8$ minutes if she jogs at the same rate. For calculating the distance for $8$ minutes, we have to multiply distance covered in $1$ minute with time taken.

Complete step-by-step solution:
Here, it is given that Johanna can jog $3,000$ feet in $5$ minutes.
We have to find if she jogs at the same rate, then how many feet can she jog in $8$ minutes.
For this, first we will calculate how many feet she can jog in $1$ minute if she jogs at the same rate.
Since, Johanna jogs $3,000$ feet in $5$ minutes.
So, for calculating the distance for $1$ minute, we have to divide the total distance with time taken.
Thus, Johanna can jog $\dfrac{{3000}}{5}$ feet in $1$ minute.
It can be simplified by division and can be written as
Johanna can jog $600$ feet in $1$ minute.
Now, we have to calculate how many feet she can jog in $8$ minutes if she jogs at the same rate.
So, for calculating the distance for $8$ minutes, we have to multiply the distance covered in $1$ minute with time taken.
Thus, Johanna can jog $600 \times 8$ feet in $8$ minutes.
It can be simplified by multiplication and can be written as
Johanna can jog $4800$ feet in $8$ minutes.
Johanna can jog $4800$ feet in $8$ minutes if she jogs at the same rate.

Note: Students often get confused when to multiply and when to divide for conversion. Remember when converting a larger unit to a smaller one, we multiply; when we convert a smaller unit to a larger one, we divide.