A and b complete the work in 5 days b and c in 7days and c and a in 6days
Answers
If They Work together is :
A + B complete a piece of work in 5 days
B + C complete a piece of work in 7 days
C + A complete a piece of work in 6 days
First we take LCM of these numbers 5 , 7 , 6
so,
LCM is 210 ( total work is 210 )
A + B complete whole work in 5 days and total work is 210
then (A + B) complete work in 1 day = 210/5 = 42 (efficiency of A + B )
B + C complete whole work in 7 days and total work is 210
then ( B + C ) complete work in 1 day = 210/7 = 30 (efficiency of B+C )
C + A complete whole work in 6 days and total work is 210
then ( C + A ) complete work in 1 day = 210/6 = 35 (efficiency of C+A )
now ,
Efficiency of ( A + B ) is 42
Efficiency of ( B + C ) is 30
Efficiency of ( C + A ) is 35
now , ( A + B ) + ( B + C ) + ( C + A ) = 42 + 30 + 35 = 117
A + B + B + C + C + A = 117
2A + 2B + 2C = 117
A + B + C = 117/2 = 58.5
so , total work = 210
A + B + C = 210 / 58.5 = 140 / 39 days
Answer is 140 / 39 days
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