Question
Two pipes can fill a tank in 12 and 10 minutes
respectively. A waste pipe is used to empty the tank. All three pipes working together can fill the tank in 16 minutes. How much time is taken by the waste pipe to empty the full tank?Solution
Alternate Method: Let waste or leak pipe = C A B A+B+C Time 12 10 16 Let capacity of total tank = LCM (12,10 & 16) = 240 L Eff 20 : 24 : 15 So Leak can empty in 1 hr = A+B+C - (A+B) = 15 - (20+24) = -29 L Hence leak can empty the tank in = 240/29 hours
I. x2 - 5x - 14 = 0
II. y2 - 16y + 64 = 0
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0
- If the quadratic equation x² + 18x + n = 0 has real and equal roots, what is the value of n?
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 27x² - 114x + 99 = 0
Equation 2: 18y² - 70y + 68 = 0
I. 56x² - 99x + 40 = 0
II. 8y² - 30y + 25 = 0
I). p2 - 26p + 165 = 0
II). q2 + 8q - 153 = 0
I. x2 + 91 = 20x
II. 10y2 - 29y + 21 = 0
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y.
I. x
I. 8x – 3y = 85
II. 4x – 5y = 67
I. 6x2 - 41x+13=0
II. 2y2 - 19y+42=0
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