Final answer:
To determine the time taken to fill a tank with two pipes, calculate the combined fill rate. The combined rate is 5/12 tanks per hour, leading to a total time of 2.4 hours to fill the tank using both pipes.
Explanation:
To find out how long it will take to fill the tank using both pipes together, you need to calculate the combined rate of both pipes. The first pipe can fill the tank in 6 hours, so its rate is 1/6 tanks per hour. The second pipe can fill the tank in 4 hours, so its rate is 1/4 tanks per hour. When both pipes are open, their rates are additive, resulting in a combined rate of 1/6 + 1/4 = 5/12 tanks per hour.
Therefore, it will take 12/5 = 2.4 hours to fill the tank when both pipes are open and working simultaneously.
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