it can take 12 hours to fill a swimming pool using 2 pipes .if the pip

1.	it can take 12 hours to fill a swimming pool using 2 pipes .if the pipes of larger diameter is used for 4 hours and smaller diameter for 9 hours ,only half of the pool can be filled .how long will it take for each pipe to fill the pool separately
Answer» let the time taken by the first PIPE be x HOURS and the time taken by the SECOND pipe be y hours. in 1 hour the first pipe can fill it = 1/x in 1 hour the second pipe can fill it = 1/y 1/x +1/y = 1/12 --------------(1) 4/x = 9/9 =1/2---------------(2) Consider 1/x be a and 1/y be b. a + b = 1/12 -------------(3) 4A + 9b = 1/2 ----------------(4) multiply 3 by equ (4) and then subtract equ(5) from equ(4). 4a + 4B =1/3 --------------(5) we get, b = 1/30 y = 30. sustituting the value of y in equ(3) we get a + 1/30 = 1/12 x = 20. Hence the first pipe would take 20 hours and the second pipe would take 30 hours

it can take 12 hours to fill a swimming pool using 2 pipes .if the pipes of larger diameter is used for 4 hours and smaller diameter for 9 hours ,only half of the pool can be filled .how long will it take for each pipe to fill the pool separately

Answer»

let the time taken by the first PIPE be x HOURS and the time taken by the SECOND pipe be y hours.

in 1 hour the first pipe can fill it = 1/x

in 1 hour the second pipe can fill it = 1/y

1/x +1/y = 1/12 --------------(1)

4/x = 9/9 =1/2---------------(2)

Consider 1/x be a and 1/y be b.

a + b = 1/12 -------------(3)

4A + 9b = 1/2 ----------------(4)

multiply 3 by equ (4) and then subtract equ(5) from equ(4).

4a + 4B =1/3 --------------(5)

we get, b = 1/30

y = 30.

sustituting the value of y in equ(3) we get

a + 1/30 = 1/12

x = 20.

Hence the first pipe would take 20 hours and the second pipe would take 30 hours