Question

Mr. Itol's assistant takes twice as long to complete a computer task as Mr. Itol. If it takes both experts 6 hours to complete the task, how long will it take each of them to do the job alone? PLEASE HELP

Answer 1

Answer: Hence, Mr. Itol takes 9 hours, and his assistant takes 18 hours alone.

Step-by-step explanation:

Let the number of hours Mr. Itol takes be 'x'.

Let the number of hours Mr. Itol's assistant takes be '2x'.

Total number of hours both experts take = 6 hours

According to question, we get that

$\dfrac{1}{x}+\dfrac{1}{2x}=\dfrac{1}{6}\\\\\dfrac{2+1}{2x}=\dfrac{1}{6}\\\\\dfrac{3}{2x}=\dfrac{1}{6}\\\\18=2x\\\\x=\dfrac{18}{2}\\\\x=9$

Number of hours taken by him = x = 9 hours

Number of hours taken by his assistant = 2x = $2\times 9=18\ hours$

Hence, Mr. Itol takes 9 hours, and his assistant takes 18 hours alone.

Answer 2

His assistant would have to take 4 hour 30 minutes while Mr. Itol would take 1 hour 30 minutes.