Answer:
The total time required is

Step-by-step explanation:
From the question we are told that the
The thickness of the aluminium plate is

The diameter of the holes is

The number holes is n = 100
The pattern they arranged is = 10 by 10 matrix
The distance between the adjacent holes is

The cutting speed

The penetration feed is

The traverse rate is

The distance of the x-y moves

The rate at which the drill id retracted is

The point angle of the drill is

Generally the cutting speed is mathematically represented as

Where N is the rotational speed
Substituting values

=>


Now the feed rate is mathematically represented as
![Feed \ Rate [F] = P * N](https://img.qammunity.org/2021/formulas/engineering/college/h2sua6739a4h8u3kpv6elg9tns9n4o4axb.png)
Substituting values


Next is to obtain the approach distance
The approach distance is mathematically represented as

substituting values


also we are told that the drill x-y moves is 0.5 in above the work surface
Then the when retracting the drill the total distance moves is
Hence the total drill distance is


The time required to drill on hole is

Substituting values

The retracting rate of the drill would be


The time required to move the drill out of one hole is

Substituting value


The time required to move from one hole to another is



The time it would take to perform the drilling of 100 holes is mathematically represented as



Time required for retracting the drill from 100 holes is mathematically represented as



The time taken to move through the 100 holes is

The number of trans verse time is = 99


The time required the drilling task from the beginning of the first hole to the hole is


