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?
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?
Solution
First, let's find out how many hours in total it takes for 3 pumps to empty the tank.
3 pumps can empty the tank in 2 days working 8 hours a day. So, the total hours taken by 3 pumps to empty the tank is 2 days * 8 hours/day = 16 hours.
Since 3 pumps take 16 hours to empty the tank, 1 pump would take 3 times as long, which is 16 hours * 3 = 48 hours.
Now, if 1 pump takes 48 hours to empty the tank, 4 pumps working together would take 1/4 of the time. So, 4 pumps would take 48 hours / 4 = 12 hours to empty the tank.
Therefore, 4 pumps must work 12 hours a day to empty the tank in 1 day.
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