Question
βAβ and βCβ together can dig a hole in 8 hours
while βAβ, βBβ and βCβ together can dig the same hole in 6 hours. Find the time taken by βBβ alone to dig the same hole.Solution
Let the total work be 24 units {LCM (8 and 6)}
Efficiency of βAβ and βCβ together = 24/8 = 3 units/hour
Efficiency of βAβ, βBβ and βCβ together = 24/6 = 4 units/hour
Efficiency of βBβ = 4 β 3 = 1 unit/hour
Time taken by βBβ to dig the same hole alone = (24/1) = 24 hours
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