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A can complete a piece of work in 40 days and B can complete the same work in 60 days. They work together for 8 days. How much work is left?
Question

A can complete a piece of work in 40 days and B can complete the same work in 60 days. They work together for 8 days. How much work is left?

A.

25\frac{2}{5}​​

B.

15\frac{1}{5}​​

C.

23\frac{2}{3}​​

D.

13\frac{1}{3}​​

Correct option is C

Total Work = LCM of 40 and 60 = 120 unit

Efficiency of A  = 12040\frac {120}{40}​ = 3 unit per day

Efficiency of B = 12060=2\frac {120}{60} = 2 ​ unit per day

Work done by both of them in 8 days = (3+2)× 8 = 40 unit

Remaining Work left = 20-40 = 80

Work fraction left = 80120=23\frac{80}{120}= \frac{2}{3}​​

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