Question
A fence is constructed using 900 wooden planks. βXβ
alone can place 10 planks per minute, while βYβ alone can complete the fence in 100 minutes. βZβ, a curious kid, removes 4 planks per minute. If all three work together, how long will it take to finish the fence?Solution
ATQ,
Efficiency of βYβ = (900 / 100) = 9 planks/minute So, combined efficiency of βXβ, βYβ and βZβ = 10 + 9 β 4 = 15 planks per minute So, time taken to build the fence = (900 / 15) = 60 minutes = 1 hour
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