The water flowing through a 1.9 cm (inside diameter) pipe flows out through three 1.5 cm pipes. (a) If the flow rates in the three smaller pipes are 26, 21, and 16 L/min, what is the flow rate in the 1.9 cm pipe? (b) What is the ratio of the speed in the 1.9 cm pipe to that in the pipe carrying 26 L/min?

Explanation

To solve the problem step by step, we will break it down into parts (a) and (b) as given in the question.

### Part (a): Finding the Flow Rate in the 1.9 cm Pipe

1. **Understand the Flow Rate**: The flow rate (Q) is the volume of fluid that passes through a section of the pipe per unit time. It can be expressed in liters per minute (L/min).

2. **Calculate the Total Flow Rate in the Smaller Pipes**: The flow rates in the three smaller pipes are given as 26 L/min, 21 L/min, and 16 L/min. We can find the total flow rate by summing these values.
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