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ICSE Class 8 Answered

Suppose there are three people working on a project. A and B can complete it in 12 days, B & C in 15 days and C & A in 20 days . How long will it take to complete the project it a all three work together  and b) each of them work weparately?
Asked by nathsantanukumar | 10 Aug, 2018, 07:21: AM
answered-by-expert Expert Answer
begin mathsize 16px style left parenthesis straight A plus straight B right parenthesis apostrophe straight s space one space day space work space equals space 1 over 12 space space space... left parenthesis 1 right parenthesis
left parenthesis straight B plus straight C right parenthesis apostrophe straight s space one space day space work equals space 1 over 15..... left parenthesis 2 right parenthesis
left parenthesis straight C plus straight A right parenthesis apostrophe straight s space one space day space work equals space 1 over 20 space.... left parenthesis 3 right parenthesis
Adding space left parenthesis 1 right parenthesis comma space left parenthesis 2 right parenthesis space and space left parenthesis 3 right parenthesis comma space we space get
2 left parenthesis straight A space plus space straight B space plus space straight C right parenthesis space space equals space 1 over 12 plus 1 over 15 space plus 1 over 20 space equals space 12 over 60 space equals space 1 fifth
rightwards double arrow left parenthesis straight A space plus space straight B space plus space straight C right parenthesis space equals fraction numerator 1 over denominator 5 space cross times space 2 end fraction space equals 1 over 10 space
Work space done space by space straight A comma space straight B comma space and space straight C space in space one space day space equals space space 1 over 10
Therefore space it space takes space 10 space days space to space complete space the space work space if space straight A comma space straight B comma space and space straight C space aere space working space togethrer.
end style
Answered by Yasmeen Khan | 13 Aug, 2018, 03:36: PM
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