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to fill a swimming pool two pipes are used if the pipe of larger diameter used for 4 hours and the pipe of smaller diameter for 9 hours only half of the pool can be filled find how long it would take for each pipe to fill the pool separately if the pipe of smaller diameter takes 10 hours more than the pipe of larger diameter to fill the pool

Posted by Shreya Lalit 6 years, 2 months ago

CBSE > Class 10 > Mathematics

3 answers

⛩️Singh Empire? (Believe In Study)? 6 years, 2 months ago

20 and 30

Aadya Singh ? 6 years, 2 months ago

So, time taken by larger pipe to fill the pool is 20 hrs. and time taken by smaller pipe is 30 hrs.

Aadya Singh ? 6 years, 2 months ago

Let x hours be the total time taken by the larger pipe to fill the tank. So, in 1 hour it would fill 1/x part of tank. Similarly, y hours are needed for the smaller pipe. Then, in 1 hour it would fill 1/y part. A.T.Q - y= 10 + x......(1) And , 4/x + 9/y = 1/2.....(2) . Put the value of y in (2) , we get, 4/x + 9/ 10+x = 1/2 => x^2-16x-80=O => (x-20) (x+4) => Either x=20 or x= -4 . Since, the value of x can't be negative. So, x = 20 and y = x+10 = 20+10=30

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