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Speed of boat in still water is 7km/hour Let the Speed of Stream be x Km/hour 36/(7+x) + 36/(7-x) = 21 24 = 49- x2 x = 5 km/hour Now, the speed of Boat for the journey from A to B to take time 108 minutes is Speed of boat = y km/hour , Speed of stream = 5km/hour , Time = 108 minutes (y+5) = (36×60)/108 = 20km/hour y+5 = 20 y = 15km/hour ∴ Speed of Boat must be 15km/hour
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 103x² - 470x + 367 = 0
Equation 2: 107y² - 504y + 397 = 0
I. 2x² - 15x + 13 = 0
II. 3y² - 6y + 3 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 32x + 207 = 0
Equation 2: y² - 51y + 648 = 0
I. 40x² + 81x + 35 = 0
II. 63y² + 103y + 42 = 0
I. x² + 3x – 154 = 0
II. y² + 5y – 126 = 0
I. 8x – 3y = 85
II. 4x – 5y = 67
I. x2 - x - 56 = 0
II. y2 - 20y + 96 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 4x² - 12x + 9 = 0
Equation 2: 2y² + 10y + 12 = 0
I. x2 + 24x + 143 = 0
II. y2 + 12y + 35 = 0
I. 2y2– 19y + 35 = 0
II. 4x2– 16x + 15 = 0
