Question

Teresa runs 4 miles in 23 minutes. How many minutes does she take per mile?

Answer 1

Hint: As we know one hour consists of 60 minutes and 1km implies 1000m, here Teresa runs 4 miles in 23 minutes and distance is a numerical measurement of how far apart objects or points are and based on given data we can analyse the time taken per mile. Consider the term to find the time taken per mile distance.

Formula used: \[\dfrac{{\min ute}}{{mile}}\]
Time taken in minutes for a particular distance which is measured in miles.

Complete step-by-step solution:
To find the time taken per mile let us write the given data
Teresa runs 4miles in 23minutes
Hence, we need to find in how many minutes does Teresa runs per mile i.e., represented as
\[
  4miles = 23\min utes \\
  1mile = ? \\
\]
Let us consider \[x\] as variable to find the time tin minutes.
\[
  4miles = 23\min utes \\
  1mile = x \\
\]
After simplifying we get
\[4x = 23\]minutes
We can also find by considering the given data i.e.,
\[\dfrac{{\min ute}}{{mile}}\]
Time taken to run 4 miles \[ \div \] distance she runs in 23 minutes
\[x\] = \[\dfrac{{\min ute}}{{mile}}\]= \[\dfrac{{23\min ute}}{{4mile}}\]
\[x\] = \[5.75\dfrac{{\min ute}}{{mile}}\]

Additional information:
Speed is the rate at which an object moves. Speed is simply distance divided by the time where distance is directly proportional to velocity when time is constant.
The formula for speed distance time is mathematically given as:
\[Speed = \dfrac{{Dis\tan ce}}{{Time}}\]
The distance AB between two points in a plane with Cartesian coordinates \[A\left( {x1,y1} \right)\]and \[B\left( {x2,y2} \right)\] is given by the following formula:
\[AB = \sqrt {{{\left( {x2 - x1} \right)}^2} + {{\left( {y2 - y1} \right)}^2}} \]

Therefore, Teresa runs 5.75 minutes per mile.

Note: To find the distance or time of any given data, consider all the given terms for calculating and hence based on that we can find the data asked. Here in the given question, we need to find the time Teresa takes to run per mile that is 1 mile, based on the data given that she runs 4miles in 23 minutes. Hence given data is sufficient to find for per mile distance Teresa runs.