Respuesta :
Answer:
9.625 days
Step-by-step explanation:
That would be 2.75 * 3.5 = 9.625 days.
Answer : The time taken when both computers run a virus scan at the same time again is, 1.54 days
Step-by-step explanation :
Let the time taken by computer for virus scan be, 'x' days
As we are given that Computer A runs a virus scan every 2.75 days and Computer B runs a virus scan every 3.5 days. The work is same.
Amount of work done by computer A:
Amount of work done in 1 day = [tex]\frac{1}{2.75}[/tex]
Amount of work done in 'x' day = [tex]\frac{x}{2.75}[/tex]
Amount of work done by computer B:
Amount of work done in 1 day = [tex]\frac{1}{3.5}[/tex]
Amount of work done in 'x' day = [tex]\frac{x}{3.5}[/tex]
As the work is same. That means, the amount of work done is, 1.
Now we have to determine the time taken when both computers run a virus scan at the same time again.
[tex]\frac{x}{2.75}+\frac{x}{3.5}=1[/tex]
By solving the term 'x', we get:
[tex]\frac{(3.5+2.75)x}{2.75\times 3.5}=1[/tex]
[tex]\frac{(6.25)x}{9.625}=1[/tex]
[tex]x=1.54days[/tex]
Thus, the time taken when both computers run a virus scan at the same time again is, 1.54 days
