Question
Gagan can do a piece of work in 14 days. Magan is 40%
more efficient than Gagan. How many days will Magan and Gagan together complete the work?Solution
Efficiency of Gagan : Magan 100 : 140 5 : 7 Time taken (reverse) 7 : 5 Actual time taken by Gagan = 14 days. Actual time taken by Magan (2 × 5) = 10 days. required answer = 1/10 + 1/14 = 24/140 days = 35/6 days Alternate Method: Let eff of Gagan = 100 then eff of Magan = 140 Time × Eff = constant 14×100 = T×140 T = 10 days required answer = 1/10 + 1/14 = 24/140 days = 35/6 days
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 103x² - 470x + 367 = 0
Equation 2: 107y² - 504y + 397 = 0
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Equation 1: x² - 36x + 288 = 0
Equation 2: y² - 36y + 320 = 0
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I. x
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I. 2x² - 15x + 27 = 0
II. 2y² - 13y + 20 = 0
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Solve the quadratic equations and determine the relation between x and y:
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Equation 2: y² - 29y + 210 = 0
I. 20x² - 93x + 108 = 0
II.72y² - 47y - 144 = 0
I. 20y² - 13y + 2 = 0
II. 6x² - 25x + 14 = 0
