Question
‘X’ can complete a job in 30 days. ‘Y’ is 50%
more efficient than ‘X’. How long will they take to finish 75% of the work together?Solution
Let work = 30x units (since X takes 30 days).
Efficiency of X = 30x / 30 = 1x unit/day.
Y is 50% more efficient, so Y's efficiency = 1x + 0.5x = 1.5x units/day.
75% of work = 30x × 0.75 = 22.5x units.
Combined efficiency = 1x + 1.5x = 2.5x units/day.
Time taken = 22.5x / 2.5x = 9 days.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 38x + 352 = 0
Equation 2: y² - 38y + 312 = 0
Equation 1: 2x2 - 21x + 54 = 0
Equation 2: 4y2 - 23y + 15 = 0
Difference between the roots of equation 1 is approx...
I. 8y2 - 2y - 21 = 0
II. 2x2 + x - 6 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 36x + 288 = 0
Equation 2: y² - 36y + 320 = 0
I. 40 x² - 93 x + 54 = 0
II. 30 y² - 61 y + 30 = 0
I. x2 - x - 56 = 0
II. y2 - 20y + 96 = 0
If α, β are the roots of the equation x² – px + q = 0, then the value of α2+β2+2αβ is
...I. 2x2 + 3x - 9 = 0
II. 3y2 - y - 10 = 0
I. y² - 7 y – 18 = 0
II. x² + 10 x + 16 = 0
I. x2 - 5x - 14 = 0
II. y2 - 16y + 64 = 0
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