Question
The ratio of the speed of boat ‘A’ in still water,
the speed of boat ‘B’ in still water and the speed of the current is 11:5:2, respectively. If the time taken by boat ‘A’ to travel (9D – 26) km downstream is equal to the time taken by boat ‘B’ to travel (D + 50) km upstream, then find the value of ‘D’.Solution
Let, the speeds of boat ‘A’ and boat ‘B’, in still water and the speed of the current be 11x km/hr, 5x km/hr and 2x km/hr, respectively. According to the question, (9D – 26)/(11x + 2x) = (D + 50)/(5x – 2x) Or, 27D – 78 = 13D + 650 Or, 14D = 728 Or, D = 52
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 21x² - 82x + 80 = 0
Equation 2: 23y² - 132y + 85 = 0
Equation 1: x² - 200x + 9600 = 0
Equation 2: y² - 190y + 9025 = 0
Equation 1: x² - 180x + 8100 = 0
Equation 2: y² - 170y + 7225 = 0
I. (y – 5)2 – 9 = 0
II. x2 – 3x + 2 = 0
I. 2y2 - 15y + 18 = 0
II. 2x2 + 9x - 18 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 41x² - 191x + 150 = 0
Equation 2: 43y² - 191y + ...
Equation 1: x² - 90x + 2025 = 0
Equation 2: y² - 88y + 1936 = 0
I. 3x6- 19x3+16=0
II. 9y4- 27y2+20=0
I. x2 – 39x + 360 = 0
II. y2 – 36y + 315 = 0
I. x2 + 16x + 63 = 0
II. y2 + 2y - 15 = 0
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