Question
A boat takes 12 hours longer to
cover 378 km upstream than it does to cover the same distance downstream. The speed of the stream is 12 km/h. What is the distance the boat travels downstream in 13 hours?Solution
ATQ, Let the speed of boat in still water= 'd' Kmph 378/(d-12) – 378/(d+12)=12 378 (d+12-d+12)=12(d -144) 378 (24)=12(d -144) 756= d -144 d =900 d=30 Downstream speed of boat = 30+12 = 42 Kmph Required answer = 42×13 = 546 Km
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 50x + 600 = 0
Equation 2: y² - 51y + 630 = 0
I. 104x² + 9x - 35 = 0
II. 72y² - 85y + 25 = 0
I. 4x2 + 3√7 x-7 =0
II. 7y2 + 4√7 y-5=0
I.8(x+3) +Â 8(-x) =72Â
II. 5(y + 5) + 5(-y) = 150Â
I. 3x2 - 16x - 12 = 0
II. 2y2 + 11y + 9 = 0
What is the speed of the stream if a ship takes 15 hours to travel 240 km in calm waters, given that the ratio of its speed against the current to its s...
I. 165x² + 97x + 10 = 0
II. 117y² - 163y + 56 = 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. 3x<...
- Find the value of p if the quadratic equation x² + px + 36 = 0 has real and equal roots.
I. 3 x² - 10
