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It takes 12 hours to fill …

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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 of smaller diameter is used for 9 hours , only half of the pool is filled. How long would it take for each pipe to fill the pool seperately?

Posted by Akshay Agarwal 6 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

#Miss_Raagini ???? 6 years, 9 months ago

let the time taken by the 1 pipe be x hours and let the time taken by the 2 pipe be y hours. & the in 1 hour the 1 pipe can fill it=1/x the in 1 hour the 2 pipe can fill it=1/y 1/x +1/y = 1/12 -1 4/x = 9/9 =1/2 -2 let 1/x be a and 1/y be b. a+b= 1/12 -3 4a + 9b = 1/2 -4 multiply 3 by 4 and then subtract 5 and 6. 4a +4b=1/3 -5 4a + 9b = 1/2 -6 we get, b=1/30 y=30. sustituting the value of y in eq. 3 a+1/30=1/12 x=20. Hence the 1 pipe would take 20hours and the 2 pipe would take 30 hours.

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