Question
A boat travels 36 km upstream and 48 km downstream in 8
hours. If the speed of the stream is 3 km/h and the boat’s speed in still water is 9 km/h, what is the time taken for the boat to travel 36 km downstream?Solution
Speed downstream = 9 + 3 = 12 km/h Time to travel 36 km downstream = 36 / 12 = 3 hours. Correct Option: b) 3 hours
- If the quadratic equation x² + 18x + n = 0 has real and equal roots, what is the value of n?
(i) 2x² – 9x + 10 = 0
(ii) 4y² – 12y + 9 = 0
I. 2x² + 11 x + 15 = 0
II. 2y² - 19 y + 44 = 0
I: x2 + 31x + 228 = 0
II: y2 + 3y – 108 = 0
I. 8a2 – 22a+ 15 = 0
II. 12b2 - 47b + 40=0
I. 5x² - 24 x + 28 = 0
II. 4y² - 8 y - 12= 0
I. 8x² - 74x + 165 = 0
II. 15y² - 38y + 24 = 0
I. 20y² - 13y + 2 = 0
II. 6x² - 25x + 14 = 0
I. x2 + 28x + 96 = 0
II. y2 + 3y - 70 = 0
I. 5x2 – 18x + 16 = 0
II. 3y2 – 35y - 52 = 0