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ICSE Class 10 Answered

A swimming pool can be filled by 2 pipes together in 6 hours; if the larger pipe alone takes 5 hours less than the smaller pipe to fill the pool, find the time in which each pipe alone would fill the pipe.
Asked by dr_pradip27121972 | 14 Mar, 2018, 10:54: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space the space time space taken space by space the space one space pipe space be space straight x space hours space and time space taken space by space second space pipe space be space straight x minus 5 space hours. According space to space the space question comma 1 over straight x plus fraction numerator 1 over denominator straight x minus 5 end fraction equals 1 over 6 fraction numerator straight x minus 5 plus straight x over denominator straight x left parenthesis straight x minus 5 right parenthesis end fraction equals 1 over 6 fraction numerator 2 straight x minus 5 over denominator straight x left parenthesis straight x minus 5 right parenthesis end fraction equals 1 over 6 6 open parentheses 2 straight x minus 5 close parentheses equals straight x left parenthesis straight x minus 5 right parenthesis 12 straight x minus 30 equals straight x squared minus 5 straight x straight x squared minus 17 straight x plus 30 equals 0 left parenthesis straight x minus 15 right parenthesis left parenthesis straight x minus 2 right parenthesis equals 0 straight x equals 15 space or space straight x equals 2 But space according space to space the space question space straight x not equal to 2 Hence comma space the space time space in space which space each space pipe space alone space would space fill space the space pipe space is space 15 space hrs. end style
Answered by Sneha shidid | 15 Mar, 2018, 09:37: AM

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ICSE 10 - Maths
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