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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.

**Complete step-by-step answer:**

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.

**Additional Information:**

Arithmetic is very old but the most elementary branch of mathematics. It is used by almost everyone, for the tasks ranging from simple day-to-day counting to the advanced science and business calculations. It involves the varieties of problems related with quantity, especially as the result of combining numbers. In common usage, arithmetic refers to the simple properties while using the traditional operations of addition, subtraction, multiplication and division. Professional mathematicians may use the term with complex calculations when referring to more advanced results related to number theory. Also, many simple mathematical rules will be applicable to get solutions to simple but useful problems.

**Note:**Such mathematical problems are involving simple calculations with basic mathematical rules. Careful calculations are must to get accurate results. So, strict practice of such problems and calculations will help a lot.

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