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drek231 [11]
3 years ago
10

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 t

he task, how long will it take each of them to do the job alone? PLEASE HELP
Mathematics
2 answers:
Basile [38]3 years ago
8 0

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.

earnstyle [38]3 years ago
3 0
His assistant would have to take 4 hour 30 minutes while Mr. Itol would take 1 hour 30 minutes.
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