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The ratio of the efficiencies of A B and C is...

This question belongs to Arithmetic Ability Time And Work
Time and Work
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The ratio of the efficiencies of A, B and C is 7 : 5 : 8. Working together, they can complete a piece of work in 42 days. B and C worked together for 21 days and the remaining work was completed by A alone. The whole work was completed in:

Answer & Solution
Correct Answer: Option C
A : B : C = 7 : 5 : 8
20 × 42 = 21(B + C) + A × D days
20 × 42 = 21 × 13 × 7 × D
120 = 39 + D
D = 81
21 days, worked already
Total = 21 + 81 = 102 days
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