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# A machine produces 24 screws in 5 minutes. How long will it take to produce 10000 screws?

Last updated date: 12th Aug 2024
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Hint: We will compute the time duration to produce one screw by the machine. Then we have to compute the time required to produce 10000 screws. Time required to produce 10000 screws will be equal to 10000 times time required to produce one screw.

In the question, it is given that a machine produces 24 screws in 5 minutes. Now, let us assume that one screw can be produced in x minutes. Then,
$24 \times x = 5$ Minutes
On transposing 24 from LHS to RHS, we will get,
$x = \dfrac{5}{{24}}minutes$
Therefore, a machine can produce one screw in $\dfrac{5}{{24}}$minutes.
So, to compute the time which will be needed for the machine to produce 10000 screws, we will multiply the time duration for 1 screw by 10000.
Thus time needed,
=$\dfrac{5}{{24}} \times 10000$
=$\dfrac{{50000}}{{24}}$
We will divide 50000 by 24 to get the time,
So, we have the solution as,
=$2083\dfrac{1}{3}$ minutes.
Thus the time needed to produce 10000 screws by machine will be $2083\dfrac{1}{3}$ minutes.