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# If it takes 5 machines 5 minutes to make 5 fidget spinners. How long would it take 100 machines to make 100 fidget spinners?

Last updated date: 13th Aug 2024
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According to the question we have 5 machines and they together make 5 fidget spinners in 5 minutes. By using a unitary method here we find that if 5 machines take 5 minutes to make 5 fidget spinners therefore, 1 machine takes 5 minutes to make $\dfrac{5}{5}$ fidget spinners. Thus, 1 machine takes 5 minutes to make 1 fidget spinner.
Note: We will consider here the time taken by 100 machines to make 100 fidget spinners as x minutes. We can also solve by $\dfrac{MDT}{W}$ formula in which M are the number of machines which will work, D are days, T is time and W is work done. Therefore we will have $D=\dfrac{W}{MT}$. As here we have ${{M}_{1}}=5,{{T}_{1}}=5,{{W}_{1}}=5$ and ${{M}_{2}}=100,{{T}_{2}}=x,{{W}_{2}}=100$ so, by taking D as common between them we get,
\begin{align} & D=D \\ & \dfrac{{{W}_{1}}}{{{M}_{1}}{{T}_{1}}}=\dfrac{{{W}_{2}}}{{{M}_{2}}{{T}_{2}}} \\ & \Rightarrow \dfrac{5}{5\times 5}=\dfrac{100}{100\times x} \\ & \Rightarrow 5=x \\ \end{align}