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Question
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
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ANSWER : 4
Descrption
<p style="margin-left:0px;">Let's first calculate the work done by the 3 pumps in 2 days, which is equivalent to emptying the tank:</p><p style="margin-left:0px;">3 pumps * 8 hours/day * 2 days = 48 pump-hours of work</p><p style="margin-left:0px;">Now, we want to find out how many hours a day 4 pumps must work to empty the tank in 1 day. Let "x" be the number of hours a day they need to work.</p><p style="margin-left:0px;">4 pumps * x hours/day * 1 day = 4x pump-hours of work</p><p style="margin-left:0px;">Since the amount of work done is the same (emptying the tank), we can set up the equation:</p><p style="margin-left:0px;">48 pump-hours of work = 4x pump-hours of work</p><p style="margin-left:0px;">Now, solve for "x":</p><p style="margin-left:0px;">4x = 48</p><p style="margin-left:0px;">Divide both sides by 4:</p><p style="margin-left:0px;">x = 48 / 4</p><p style="margin-left:0px;">x = 12</p><p style="margin-left:0px;">So, 4 pumps must work 12 hours a day to empty the tank in 1 day.</p>
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