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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

User Orvil
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2 Answers

4 votes
His assistant would have to take 4 hour 30 minutes while Mr. Itol would take 1 hour 30 minutes.
User Zennni
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6 votes

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

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


(1)/(x)+(1)/(2x)=(1)/(6)\\\\(2+1)/(2x)=(1)/(6)\\\\(3)/(2x)=(1)/(6)\\\\18=2x\\\\x=(18)/(2)\\\\x=9

Number of hours taken by him = x = 9 hours

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

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

User Kelly
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