Question 42

Six pipes are fitted to a water tank. Some of these are inlet pipes and the others outlet pipes. Each inlet pipe can fill the tank in 9 hours and each outlet pipe can empty the tank in 6 hours. On openingall the pipes, an empty tank is filled in 9 hours. The number of inlet pipes is .......

Name: Six pipes are fitted to a water tank. Some of these are inlet pipes and the others outlet pipes. Each inlet pipe can fill the tank in 9 hours and each outlet pipe can empty the tank in 6 hours. On openingall the pipes, an empty tank is filled in 9 hours. The number of inlet pipes is .......
Uploaded: 2025-12-29T16:05:05.934130+05:30
Duration: 3 min 26 s
Description: Six pipes are fitted to a water tank. Some of these are inlet pipes and the others outlet pipes. Each inlet pipe can fill the tank in 9 hours and each outlet pipe can empty the tank in 6 hours. On openingall the pipes, an empty tank is filled in 9 hours. The number of inlet pipes is .......

Solution

Let number of inlet pipes be $$x$$ and number of outlet pipes = $$(6-x)$$

According to ques,

=> $$\frac{x}{9}-\frac{(6-x)}{6}=\frac{1}{9}$$

=> $$\frac{6x-54+9x}{54}=\frac{1}{9}$$

=> $$15x-54=6$$

=> $$15x=60$$

=> $$x=\frac{60}{15}=4$$

$$\therefore$$ There are 4 inlet pipes.

=> Ans - (A)

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