Problem 10

Explanation

We can solve this problem by calculating the total volume of water and dividing it by the combined flow rate of the three taps.

Calculating the Water Tank Volume

The water tank is cubic with a side length of $4 \text{ dm}$. The volume of the tank is:

Recall that $1 \text{ dm}^3 = 1 \text{ liter}$, so the volume of water in the tank is $64$ liters.

Calculating the Combined Flow Rate

Since all three taps are opened simultaneously, we sum the flow rates of each tap:

Calculating the Time

The time required ($t$) for the water to run out is the volume divided by the total flow rate:

Thus, the water in the tank will run out in 8 minutes.