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ICSE Class 8 Answered

A & B  can complete a work in25 days and 20 days respectively . after working together for some days. A leaves and B finishes the remaining work in11 days. Find after how many days A left the work?
Asked by nathsantanukumar | 10 Aug, 2018, 07:18: AM
answered-by-expert Expert Answer
begin mathsize 16px style work space done space by space straight A thin space in space 1 space day space equals space 1 over 25
work space done space by space straight B space in space 1 space day space equals space 1 over 20
let space straight A space and space straight B space work space together space for space straight x space number space of space days
so space work space done space for space straight x space number space of space days
open parentheses 1 over 25 plus 1 over 20 close parentheses cross times straight x plus 11 space days space work space by space straight B equals 1 space complete space work
open parentheses 1 over 25 plus 1 over 20 close parentheses cross times straight x plus 11 open parentheses 1 over 20 close parentheses equals 1
straight x equals 5 space days end style
Answered by Arun | 13 Aug, 2018, 01:15: PM
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