Calculate Time to Reach 64 Liters: Two-Bowl Water Flow Graph Analysis

Question

Given two bowls A and B

The bowl A emptand and the bowl B contains 32 liters of water.

We fill the bowls with water until theand are full, here is a graph showing the amount of water in the two bowls as a function of time

After how manand minutes from the time the taps are opened will there be 64 liters of water in the tank B?

Time222444666888101010121212141414161616181818202020222222242424262626282828303030Water Level888161616242424323232404040484848565656646464727272808080888888969696104104104112112112000AB

Step-by-Step Solution

To solve this problem, we will analyze the graph given:

  • Step 1: Identify starting condition. Bowl B initially has 32 liters.
  • Step 2: Use the graph to track the line for bowl B. This line starts at the point (0, 32) on the graph.
  • Step 3: Locate the point where this line intersects with the horizontal line representing 64 liters.
  • Step 4: From this intersection point, read down to the time axis to find the corresponding time value.

From the graph, bowl B reaches 64 liters at t = 10 minutes.

Therefore, the correct number of minutes after the taps are opened for bowl B to contain 64 liters of water is 10 minutes.

Answer

10