Question

a tank can be filled by 2 taps x and y in 5 hrs and 10 hrs respectively another tap z empties the tank in 20 hrs . In how many hrs can tank be filled if all three taps are kept open .​

Answer 1

Step-by-step explanation

Efficiency of X = 1/5

Efficiency of X = 1/5Efficiency of Y = 1/10

Efficiency of X = 1/5Efficiency of Y = 1/10Efficiency of Z = 1/20

Efficiency of X = 1/5Efficiency of Y = 1/10Efficiency of Z = 1/20⇒ Total efficiency of X, Y and Z = (1/5) + (1/10) - (1/20) = 1/4

Efficiency of X = 1/5Efficiency of Y = 1/10Efficiency of Z = 1/20⇒ Total efficiency of X, Y and Z = (1/5) + (1/10) - (1/20) = 1/4∴ Total time taken is 4 hours

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