Answer:
The new model can do the entire work alone in 3 hours.
Step-by-step explanation:
Let us assume that the newer model of computer can complete the job alone in x hours.
Therefore, in one hour this new model can do [tex]\frac{1}{x}[/tex] part of the job.
Again the old model can do the entire job alone in 6 hours,
So, in 1 hour the old model can do [tex]\frac{1}{6}[/tex] part of the job.
Therefore, if they work together, then in 1 hour they will do [tex](\frac{1}{6} +\frac{1}{x} )= \frac{x+6}{6x}[/tex] part of the job.
So, the entire work they can do together in [tex]\frac{6x}{x+6}[/tex] hours.
So, given that [tex]\frac{6x}{x+6}=2[/tex]
⇒ 6x = 2x + 12
⇒ x = 3 hours,
Therefore, the new model can do the entire work alone in 3 hours. (Answer)
