The time taken to shell the remaining 4.5 lbs. of pecans at the rate of 1.5 lbs. per hour is 3 hours.
In the question, we are asked to find the number of hours it will take further to shell a total of 11 lbs. of pecans given that we have shelled 6.5 lbs. of pecans, and we can shell pecans at the rate of 1.5 lbs. per hour.
The required amount of pecans to shell = 11 lbs.
The amount of pecans already shelled = 6.5 pecans.
Thus, the amount of pecans left to be shelled = 11 - 6.5 = 4.5 lbs.
The hourly rate of shelling the pecan = 1.5 lbs. per hour.
Thus, the time taken to shell the remaining amount of pecans = 4.5/1.5 = 3 hours.
Thus, the time taken to shell the remaining 4.5 lbs. of pecans at the rate of 1.5 lbs. per hour is 3 hours.
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The provided question is incorrect. The correct question is:
"Suppose you have shelled 6.5 lbs. of pecans, and you can shell pecans at a rate of 1.5 lbs. per hour. How many more hours will it take you to shell a total of 11 lbs. of pecans?"
