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Person A, B and C can complete a task together in 81 days. A and B can completed the same task together in 97.2 days. B and C can complete the same task together in 162 days. In how many days can B alone complete the task?

Person A, B and C can complete a task together in 81 days. A and B can completed the same task together in 97.2 days. B and C can complete the same task together in 162 days. In how many days can B alone complete the task? Correct Answer 243

A, B, and C complete the work in 81 days, A and B in 97.2 days, B and C in 162 days

Formula:

Total work = Efficiency × Time taken

Calculation:

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Total work = 486 units

⇒ Efficiency of A, B and C = 6 units/day

⇒ Efficiency of A and B = 5 units/day

⇒ Efficiency of B and C = 3 units/day

Efficiency of C = 6 - 5 = 1 units/day

⇒ Efficiency of B = 3 - 1 = 2 units/day

∴ B alone can complete the whole work in = 486/2 = 243 days

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