Question

In $6$ minutes, Jamie runs $1$ lap. How many laps she can run in $18$ minutes?

Answer 1

Hint:In this question, Jamie runs $1$ lap in $6$ minutes and we have to find the laps run by Jamie in $18$ minutes. This problem creates a relationship between the laps and time taken. We can also say that lap is the work done by Jamie and time taken is $18$ minutes and the other work we have to find which takes $18$ minutes.

Complete step by step answer:
In this problem, we have given that Jamie runs $1$ lap in $6$ minutes and let the number of laps be $x$, taken in $18$ minutes. This problem gives us a relationship of laps (work) and time. We will write it as,
Laps taken in $6$ minutes $\div$ time taken to complete $1$ lap $ = $ Laps taken in $18$ minutes $\div$ time taken to complete $x$ laps
$\dfrac{1}{6} = \dfrac{x}{{18}} \\
\Rightarrow \dfrac{1}{6} \times 18 = x \\
\therefore x = 3 \\ $
Hence, Jamie can run $3$ laps in $18$ minutes.

Additional Information:
These types of questions can be solved easily by the work time relationship. The relationship between work and time is $\dfrac{{{w_1}}}{{{t_1}}} = \dfrac{{{w_2}}}{{{t_2}}}$, where ${w_1},{w_2}$ are the work done and ${t_1},{t_2}$ are the time taken.

Note:The time given to run a lap is given in minutes, so carefully we need to see that the other time is also in minutes or not, if it is not in the same form, then we have to convert one of them in the form of the other. We can solve these types of questions in a very easy manner if the two works and one time given and also if two times and one work is given.