swimming pool Theflow rate for one pipe is 1 1/4 that of another pipe. A swimming pool can be filled in 5 hours using both pipes. Find the time to fill the pool only using the pipe with the lower flow rate.
To find the time it takes to fill the pool using only the pipe with the lower flow rate, we need to first find the flow rates of both pipes.
Let's assume the flow rate of the lower flow rate pipe is x (in some unit of measurement). Then, according to the given information, the flow rate of the higher flow rate pipe is 1 1/4 times that of the lower flow rate pipe, which can be expressed as 1.25x.
Now, let's consider the combined flow rate of both pipes. Since we know that it takes 5 hours to fill the pool using both pipes, we can write the equation:
1/x + 1/1.25x = 1/5
To simplify this equation, we can multiply both sides by 5x to eliminate the denominators:
5(1.25x) + 5x = x
6.25x + 5x = x
11.25x = x
Now, we can solve for x:
11.25x = x
11.25x - x = 0
10.25x = 0
x = 0/10.25
x = 0
From this equation, we can see that x equals 0, which means the lower flow rate pipe does not contribute to filling up the pool. Therefore, it is not possible to calculate the time it would take to fill the pool using only the pipe with the lower flow rate, as it has no flow.