Question
Tap βAβ and tap βBβ can fill a tank in 32 hours
and 24 hours, respectively. If both taps are opened together, then find the time after which tap βAβ must be closed so the whole tank can be filled in 15 hours.Solution
Let total capacity of the tank is 96 litres (LCM of 32 and 24) Quantity of water filled by tap βAβ in one hour = 96/32 = 3 litres Quantity of water filled by tap βBβ in one hour = 96/24 = 4 litres Let tap βAβ is closed after βxβ hours So, 7 Γ x + 4 Γ (15 β x) = 96 Or, 3x = 36 Or, x = 12 hours
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