Question
I. 2 x ² + x  – 1 =
0                 II. 2 y ² - 3 y + 1 = 0Solution
I. 2 x ² + x – 1 = 0 (x – 1) (2 x + 1) = 0 x = 1, - 1/2 II. 2 y ² - 3 y + 1 = 0 (2 y – 1) ( y – 1) = 0 y = 1, 1/2 Hence,  x ≤ y
A man swims downstream 81 km and upstream 45 km, taking 9 hr each time. Find the man’s rate in still water?  Â
A boat takes a third time to cover a certain distance downstream compared to upstream. What is the ratio of the speed of the boat in still water to the ...
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....
The downstream speed of a boat is 8 km/hr more than its upstream speed and the ratio of the speed of the boat in still water to the speed of the stream ...
Speed of a boat in still water to speed of boat in upstream is 11: 9. If the boat can travel 260 km in downstream in 10 hours, then find the time taken ...
The ratio between the time taken by a boat to cover a certain distance in upstream and the same distance in downstream is 5:1 respectively. The same boa...
Time taken by boatman to travel a distance of (d + 60) km downstream and (d + 120) upstream is 10 hours and 20 hours respectively, and the downstream sp...
Speed of a boat in still water is three times the speed of the boat in upstream. If the boat takes 46 minutes to cover 23 km in downstream, then find th...
A boat moves at 40 km/hr downstream and 10 km/hr upstream. How long will it take to cover 150 km in still water?