5 identical taps can fill a tank in 21 minutes.How long will it take 7 such taps to fill the same tank?  minutes

Step 1: Understand the problem The problem is about the rate at which taps can fill a tank. We know that 5 taps can fill the tank in 21 minutes, and we need to find out how long it would take for 7 taps to fill the same tank.

Step 2: Set up the equation The rate at which the taps fill the tank is inversely proportional to the number of taps. This means that if we increase the number of taps, the time it takes to fill the tank decreases. We can express this relationship with the equation:

5 taps * 21 minutes = 7 taps * x minutes

Step 3: Solve for x To solve for x, we can divide both sides of the equation by 7 taps:

(5 taps * 21 minutes) / 7 taps = x minutes

Step 4: Simplify the equation 105 minutes / 7 = x minutes

Step 5: Solve for x x = 15 minutes

So, it would take 7 taps 15 minutes to fill the tank.