Question
1st type of 5X tap can fill a tank in X/2
hours while 2nd type of 2Y taps can fill the same tank in 4Y/5 hours. Quantity 1 : Value of Y + 10. Quantity 2 : Value of 2.75X.Solution
Let the Total work will be = 5X × X/2 = 2Y × 4Y/5 (X/Y) 2 = (4/5)2 X/Y = 4/5 X = 4a, Y = 5a Y + 10 = 5a + 10 = Q1 2.75X = 2.75 × 4a = 11a =Q2 Therefore a = 1, Q1 = 5 × 1 + 10 = 15, Q2 = 11 × 1 = 11, Q1 > Q2 So, a = 2, Q1 = 5 × 2 + 10 = 20, Q2 = 11 × 2 = 22, Q1 < Q2 Hence, Q1 = Q2 or No relation
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