Question
Pipe ‘A’ can fill a 150-litre tank in 15 hours. If
pipe ‘A’ is 25% more efficient than pipe ‘C’ whereas pipe ‘B’ is 50% more efficient than pipe ‘C’, then find the time (in minutes) taken by all the given three pipes to fill the same tank together.Solution
According to Question; Efficiency of pipe ‘A’ = (150/15) = 10 litres/hour Efficiency of pipe ‘C’ = 10 ÷ 1.25 = 8 litres/hour Efficiency of pipe ‘B’ = 8 × 1.5 = 12 litres/hour Time taken by all the pipes together to fill the tank = {150/(10 + 8 + 12)} = (150/30) = 5 hours Or, time taken by all three pipes together to fill the tank = 5 × 30 = 150 minutes
I. x2 – 39x + 360 = 0
II. y2 – 36y + 315 = 0
I. 40 x² - 93 x + 54 = 0
II. 30 y² - 61 y + 30 = 0
What will be the product of smaller roots of both equations.
I. 3x2 - 14x + 15 = 0
II. 15y2 - 34 y + 15 = 0
I. x2 – 13x + 36 = 0
II. 3y2 – 29y + 18 = 0
Equation 1: 2x2 - 21x + 54 = 0
Equation 2: 4y2 - 23y + 15 = 0
Difference between the roots of equation 1 is approx...
I. 4x² - 15x + 9 = 0
II. 20y² - 23y + 6 = 0
- For what value of a does the quadratic equation x² + ax + 81 = 0 have real and identical roots?
In each of these questions, two equations (I) and (II) are given.You have to solve both the equations and give answer
I. x² - 8x + 15 = 0 ...
I. 3x2 + 3x - 60 = 0
II. 2y2 - 7y + 5 = 0
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