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ICSE Class 8 Answered

A,B and C together can do a piece  of  work  in  8 days.  A alone can do it in 20 days, A and B can do it in 14 days. In how  many  days  will  A and C do  the  same  work.   
Asked by singhnarendra47845 | 21 Aug, 2019, 08:47: PM
answered-by-expert Expert Answer
straight A space straight B space and space straight C thin space can space do space straight a space piece space of space work space in space 8 space days so space in space 1 space day space they space all space will space complete space 1 over 8 th space part space of space work straight A space can space do space the space same space work space alone space in space 20 space days in space one space day space 1 over 20 th space part straight B space in space one space day space 1 over 14 th space part let space straight C space in space one space day space 1 over straight c th space part so 1 over 8 equals 1 over 20 plus 1 over 14 plus 1 over straight c 1 over 280 equals 1 over straight c straight c equals 280 space days now space in space straight a space day space straight A space and space straight C space will space together space complete 1 over 20 plus 1 over 280 equals 3 over 56 th space part so space total space days space required space is space 56 over 3 space days almost equal to 18.67 space days
Answered by Arun | 22 Aug, 2019, 11:05: AM
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