Question

it takes 12 hrs to fill a swimming pool using 2 pipes. if the larger pipe is used for 4 hrs and smaller one for 9 hrs,only half the pool is filled . how long would it take for each pipe alone?


pls give step by step explanation

best answer will be marked as the brainliest

Answer 1

Answer:

Step-by-step explanation:

It takes 12 hours to fill a swimming pool using two pipes. If the pipe of larger diameter is used for 4 hours and the pipe with smaller diameter for 9 hours, only half the tank is filled. How long would it take for each pipe to fill the pool separately ?

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Let larger pipe rate be x hrs/job

Let smaller pipe rate be y hrs/job

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Equations:

x + y = 1/12

4x+9y = 1/2

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Modify to get:

24x + 24y = 2

24x + 54y = 3

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Subtract and solve for "y":

30y = 1

y = 1/30 job/hr (rate of the smaller diameter pipe)

Smaller pipe would take 30 hrs to fill the pool.

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Solve for "x"

x + (1/30) = 1/12

x = (1/12)-(1/30)

x = (18/(12*30)) = 1/20 job/hr

Larger pipe would take 20 hrs to fill the pool.

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