A alone can do work in 10 days, b alone can do it in 20 days. if a, b and c together completed the work in 5 days. aassuming c is paid rs 3400 for his work, how much a and b paid together to complete the task
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the work is lcm of a and B
10 and 20 lcm = 20 unit
one days work of
A = 20/10 = 2 unit
B = 20/20 = 1 unit
Together work in one days
A + B = ( 2 + 1 = 3 unit )
together A , B , C in 5 days
20/5 = 4 unit per days
C work in one days =( A + B + C ) - ( A + B )
= 4 - 3 = 1 unit
ratio of payment
A : B : C
2 × 5 : 1 × 5 : 1 × 5
10 : 5 : 5
10x + 5x + 5x = 20x
C = 3400₹ = 5x
X = 3400/5 = 680₹
A + B = 10x + 5x = 15x
= 15 × 680 = 10200₹
10 and 20 lcm = 20 unit
one days work of
A = 20/10 = 2 unit
B = 20/20 = 1 unit
Together work in one days
A + B = ( 2 + 1 = 3 unit )
together A , B , C in 5 days
20/5 = 4 unit per days
C work in one days =( A + B + C ) - ( A + B )
= 4 - 3 = 1 unit
ratio of payment
A : B : C
2 × 5 : 1 × 5 : 1 × 5
10 : 5 : 5
10x + 5x + 5x = 20x
C = 3400₹ = 5x
X = 3400/5 = 680₹
A + B = 10x + 5x = 15x
= 15 × 680 = 10200₹
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