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George can fill Q cans of paint in 3 minutes. If there are R cans of paint in one gallon, how many gallons can George fill in 45 minutes?
  • a)
    30R/Q
  • b)
    15R/Q
  • c)
    30Q/R
  • d)
    5Q/R
  • e)
    15Q/R
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
George can fill Q cans of paint in 3 minutes. If there are R cans of p...
The best answer is E.
George can fill Q/3 cans of paint in one minute à There are R cans in one gallon, so R/(Q/3) = 3R/Q
Is the time it takes George to fill one gallon (in minutes).
In 45 minutes George can fill up 45/(3R/Q) = 15Q/R.
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Most Upvoted Answer
George can fill Q cans of paint in 3 minutes. If there are R cans of p...
Given:
George can fill Q cans of paint in 3 minutes.
R cans of paint in one gallon.

To find:
How many gallons can George fill in 45 minutes?

Solution:
Let's first find out how many cans of paint George can fill in 1 minute.
In 3 minutes, George fills Q cans of paint
So, in 1 minute, George fills Q/3 cans of paint

In 45 minutes, George fills (Q/3) x 45 cans of paint

Now, we need to convert this into gallons
1 gallon = R cans of paint
So, (Q/3) x 45 cans of paint = (Q/3) x 45/R gallons of paint

Simplifying the above expression, we get:
(Q/3) x 45/R = (15Q/R) gallons of paint

Therefore, the answer is option E, i.e., 15Q/R gallons of paint.
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