Answer:
The time it will take will be ;
t = (2x -6)/(x^2-6x)
Where x is the amount of time
in minutes taken by the technician who is slower
Step-by-step explanation:
We want to write the time it would take to run the tests if the technicians work together.
Let the time taken by the first technician be x minutes
The time that would. taken by the second is 6 minutes less which is (x -6) minutes
So if they work together, how long will it take?
That would be ;
t = 1/x + 1/(x-6)
t = (x + x -6)/(x(x-6))
t = (2x -6)/(x^2 -6x)
The time it will take if they both work together is ;
t = (2x -6)/(x^2-6x)
where x minutes is the amount of time taken by the technician who is slower of the two