A and B can can do a piece of work in 40 days Band C in 30 days and c and A in 24 days how long Will it take them to do the work together
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Hello Mate!
A and B do part of work in a day = 1/40
B and C do part of work in a day = 1/30
A and C do part of work in a day = 1/24
( A and B ) + ( B and C ) + ( C and A ) = ( 1/40 + 1/30 + 1/24 )
2A + 2B + 2C = ( 3 + 4 + 5 )/120
2( A and B and C ) = 12/120
A and B and C = 12/120 × 1/2
= 1/20 = 20 days
Hope you got it!☺
A and B do part of work in a day = 1/40
B and C do part of work in a day = 1/30
A and C do part of work in a day = 1/24
( A and B ) + ( B and C ) + ( C and A ) = ( 1/40 + 1/30 + 1/24 )
2A + 2B + 2C = ( 3 + 4 + 5 )/120
2( A and B and C ) = 12/120
A and B and C = 12/120 × 1/2
= 1/20 = 20 days
Hope you got it!☺
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