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What should come in the place of P?
Data Analysis and Interpretation
Correct Option is 75
Solution: Let pipe A alone can fill the tank in ‘a’ hour Similarly Pipe B alone can fill the tank in ‘b’ hour Pipe C alone can fill the tank in ‘c’ hour Pipe D alone can fill the tank in ‘d’ hour Pipe E alone can fill the tank in ‘e’ hour Pipe F alone can fill the tank in ‘f’ hour Given, Efficiency of pipe F is 66 ⅔% more than efficiency of pipe B and pipe E is 40% more than efficiency of pipe A So, ratio of efficiency of pipe F and pipe B = 100 : 60 = 5 : 3 Therefore, ratio of time taken of pipe B and F = 5:3 And, ratio of efficiency of pipe E and A = 140 : 100 = 7 : 4 Therefore, ratio of time taken of pipe A and E = 7:4 Let, b = 5n hours f = 3n hours And, a = 7y hours e = 5y hours Given, Pipe F and pipe D alone can fill the tank in 24 hours and 60 hours respectively So, 3n = 24 hours n = 8 hours So, b = 5 ×8=40 hours Also give, A & E together can fill 4/5 th of the tank in fourteen hours
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