Question
I. 10p² + 21p + 8 = 0 II. 5q² + 19q +
18 = 0 In each of these questions two equations numbered I and II are given. You have to solve both the equations and give answer:Solution
I. 10p² + 21p + 8 = 0 10p² + 16p + 5p + 8 = 0 ⟹ 2p(5p + 8) + 1(5p + 8) = 0 ⟹ (2p + 1)(5p + 8)= 0 ⟹ p = -1/2, -8/5 II. 5q² + 19q + 18 = 0 ⟹ 5 q² + 10q + 9q + 18 =0 ⟹5 q(q + 2) + 9(q + 2)= 0 ⟹ (5q + 9) (q + 2)= 0 ⟹ q = - 9/5 , - 2 Hence p > q.
A boat covers a distance of 57 km upstream in 9.5 hours. If the boat's speed in still water had been doubled, it would have taken only 2 hours to cover...
The speed of a motorboat in still water is 25 km/h and the speed of the stream is 5 km/h. The boat first goes 120 km downstream and then covers a certa...
A man can row his boat with the stream at 40 km/h and against the stream in 5.5 km/hours. Find the rate of the stream.
A man rows to a place 42 km away and comes back to the starting point. If the speed of the stream is 2 km/hr and the speed of the boat in still water is...
A boat goes 24 km downstream in 2 hours and comes back the same distance upstream in 3 hours. Find the speed of the boat in still water and the speed of...
A boat can cover 180 km in downstream in 18 hours and 125 km in upstream in 5 hours. Find the distance travelled by the boat in still water in 10 hours.
If a man rows at the rate of 17 kmph in still water and his rate against the current is 7 kmph, then find the man’s speed with downstream....
Find the total distance covered by boat in each upstream and downstream in 6 hours if the speed of boat in still water and speed of current is 18 km/h a...
A man can row his boat with the stream at 15 km/h and against the stream in 8 km/hours. The man’s rate isÂ
Two boats X and Y start towards each other from two places, 76 km apart. Speed of the boat X and Y in still water are 8 km/hr and 11 km/hr respectively....
