Final answer:
To find the time it takes for 6 pumps to fill the same tank, we can use the concept of work and power. The time will be less than the time it takes for 4 pumps to fill the tank due to the increased power with more pumps.
Step-by-step explanation:
In this problem, we can use the concept of work and power to find the time it takes to fill the tank. Since four equal water pumps fill the tank, we can say that the work done by each pump is equal to the work required to fill the tank.
Let's assume it takes t minutes for four pumps to fill the tank. The work done by each pump is the total work divided by four. The power of each pump is the work done divided by the time (t).
Now, we can use this information to find the time it takes for six pumps to fill the tank. Since we already know the power of each pump, we can use the formula Power = Work / Time to find the time it takes for six pumps to fill the tank.
Therefore, the time it takes for six pumps to fill the same tank will be less than t minutes because the power of each pump is greater when there are six pumps instead of four pumps.