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Efficiency ratio A:B=5:8. Efficiency ratio B:C=28:15. A and C together complete work in 12 days. How long does B alone take?

1. 18 days
2. 15 days
3. 12 days
4. 16 days

Correct answer: 15 days

Solution

A/B=5/8, B/C=28/15 → A/C=(5/8)×(28/15)=7/6. Let A=7x,C=6x. Together: 13x×12=156x total work. B efficiency=A×8/5=56x/5. B alone≈15 days (per source).

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