Question
Two boats A and B start towards each other from two
places, 500 km apart. Speed of the boat A and B in still water are 30 km/h and 20 km/h respectively. If A and B proceeds against and with the stream, respectively then after how much time will they meet?Solution
Let the speed of stream be ‘x’ km/h and they meet after‘t’ hours According to question, Distance covered while going upstream + Distance covered while going downstream = Total distance covered. (30 - x)t + (20 + x)t = 500 30t + 20t = 500 50t = 500 t = 10 hours
1.3wx = 40 – wy
2. b2 = 2b + p
3. d2 + d = q
Now, observe the given conditions:
One root of equation...
I. 63x2 + 148x + 77 = 0
II. 21y2 + 89y + 88 = 0
I. 3x2 – 17x + 10 = 0
II. y2 – 17y + 52 = 0
What is the average salary of 10 officers , if a clerk’s salary is Rs. 15,000?
Statement I: The total salary of 10 officers and 5 clerk is Rs....
The quadratic equation 2x² − kx + 3 = 0 has equal roots. Find k.
If x^2 - 7x + k = 0 has roots that are equal, what is the value of k?
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 22x + 120 = 0
Equation 2: y² - 25y + 144 = 0
I). 4p + 3q = 25
II). 5p + 2q = 26Â
I. x2 + 28x + 96 = 0
II. y2 + 3y - 70 = 0
I. 5q = 7p + 21
II. 11q + 4p + 109 = 0