Question
"The boat's downstream and
upstream speeds are 18 km/hour and 12 km/hour, respectively. A boatman takes 16 hours to cover (p + q) km upstream when the stream's speed is doubled. What is the average of p and q?"Solution
ATQ, Let, speed of boat in still water and stream speed be x km/hour and y km/hour, respectively. So, (x + y) = 18 … (i) Also, (x – y) = 12 … (ii) Solving equation (i), and (ii), we get, x = 15 km/hour y = 3 km/hour According to question, (p + q)/(x – 2y) = 16 (p + q) = 16 × (15 – 2 × 3) = 16 × 9 = 144 km Therefore, average value of p and q = (p + q)/2 =144/2 = 72 km
I. 49y2 + 35y + 6 = 0
II. 12x2 + 17 x + 6 = 0
I. x²  – 44x + 468 = 0
II. y²  – 30y + 216 = 0
 If 4x = 40, 3y = 33, what is the value of 6x + 4y?
I. x² + 11x + 24 = 0
II. y² + 17y + 72 = 0
I. x ² + 5 x + 6 = 0                Â
II. y²+ 7 y + 12= 0
...I. x + 1 = 3√ 9261
II. y + 1 = √ 324
I. 27x² + 120x + 77 = 0
II. 56y² + 117y + 36 = 0
In each of these questions, two equations (I) and (II) are given.You have to solve both the equations and give answer Â
I. x2 – ...
I. 15/(√x)+9/(√x)=11√x
II. (√y)/4 + (5√y)/12 = 1/(√y)
I. 2x2 – 25x + 33 = 0
II. 3y2 + 40y + 48 = 0
