Question

You are running \[\dfrac{1}{10}\] mile sprints in gym class this week. How many miles will you run if you complete \[3\] sprints?

Answer 1

Hint: Some of the concepts that are required to solve this problem efficiently are unitary method, algebra and multiplication. According to the unitary method, if we run ‘x’ mile in unit sprint or \[1\] sprint, then in ‘y’ sprints we will cover a distance of ‘xy’ mile. We need to apply this particular process in this problem to get the answer smoothly.

Complete step by step solution:
Now we start off with the solution to the given problem by writing that,
We have \[\dfrac{1}{10}\] miles of a distance for \[1\] sprint or unit sprint, we need to find the distance to be covered in \[3\] sprints. We can very easily find this value by multiplying the right hand as well as the left hand side of the equation by \[3\] . This transformation will turn the left hand side of the equation to \[3\] units or \[3\] sprints. Thus our answer to the problem will be,
 \[=\dfrac{1}{10}\times 3\] Which evaluates to \[=\dfrac{3}{10}\] miles.

Note: For this particular problem and problem of these types we need to have a good understanding of the elementary school topics like unitary method and algebra. While solving this problem, we need to be very careful about what we need to find out. For instance, if we need to find out the no of miles, then the miles will be on the right hand side of the equation and sprints on the left hand side. However if we are given to find the number of sprints for a respective mile, the sprints will be on the right hand side and sprints on the left hand side of the equation.