Question

It takes 24 hours to fill a swimming pool using two pipes. If the pipe of larger diameter is used for 8 hours and the pipe of the smaller diameter is used for 18 hours. Only half of the pool is filled. How long would each pipe take to fill the swimming pool.

Answer 1

Let the time taken by the larger pipe be x hours and Set the time taken by the smaller pipe be y hours.

∴ \(\frac{1}{x}+\frac{1}{y}=\frac{1}{24}\)

In 1 hour the larger pipe can fill it = \(\frac{1}{x}\)

In 1 hour the smaller pipe can fill it \(\frac{1}{y}\)

For cross multiplication method, we write the coefficients as

∴ To fill the full tank the larger pipe takes 40hrs 

To fill the full tank the smaller pipe takes 60hrs