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
1 answer:
To tackle this problem, I will formulate an equation. Let's designate x as the number of hours Mr. Itol requires to finish a computer task, while since his assistant needs twice as long, we'll set 2x as the hours the assistant needs. We also know that together they complete the task in 6 hours, allowing us to establish the following equation:
Now, to solve this, we need to identify the least common denominator, allowing us to eliminate the denominators. The LCD is 6x, which modifies our equation to:
Next, we can eliminate the denominators, resulting in:
Thus, x = 9.
This tells us that Mr. Itol would take 9 hours to work on the task alone. To calculate the duration needed for his assistant to complete it independently, we substitute the x-value into 2x:
Consequently, the final determination is that Mr. Itol would need 9 hours to finish the task alone, while his assistant would require 18 hours (twice as long) to do so independently.
Hopefully, this is clear!:)
Now, to solve this, we need to identify the least common denominator, allowing us to eliminate the denominators. The LCD is 6x, which modifies our equation to:
Next, we can eliminate the denominators, resulting in:
Thus, x = 9.
This tells us that Mr. Itol would take 9 hours to work on the task alone. To calculate the duration needed for his assistant to complete it independently, we substitute the x-value into 2x:
Consequently, the final determination is that Mr. Itol would need 9 hours to finish the task alone, while his assistant would require 18 hours (twice as long) to do so independently.
Hopefully, this is clear!:)
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