Question
Speed of current is equal to 25% of speed of boat in
still water. If the boat takes 5 hours to cover 120 km in still water, then find the time taken by the boat to cover 108 km in upstream.Solution
Speed of the boat in still water = 120 ÷ 5 = 24 km/h Speed of current = 24 × 0.25 = 6 km/h Therefore, upstream speed of the boat = 24 – 6 = 18 km/hr Required time taken = 108 ÷ 18 = 6 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
