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A train is running at a speed of 99 km/h. If the train is 565 m long, then what will be the time (in seconds) taken by it to cross a 975 m long tunnel?
If \({5cot\theta+\sqrt3cosec\theta\over 2\sqrt3coesec\theta+3 cot\theta}=1\), \(0^0<\theta<90^0\), then the value of \(\frac{\frac{7}{2} \cot^2 \theta- \frac{3}{4} \:cosec^2 \theta}{4 \sin^2 \theta+\frac{3}{2} \tan^2 \theta}\) will be:
Two pipes A and B individually can fill a tank in 15 hours, and 12 hours respectively, and C can empty the full tank in 4 hour. If all three pipes are open at 8, 9, and 11 am respectively. At what time tank will be completely empty?
The speed of a boat in still water is 25 km/h. It takes \(33\frac{1}{3}\) % more time to cover a certain distance in still water than to cover the same distance downstream. How much time (in hours) will the boat take to go 75 km downstream?
The speed of a boat in downstream is 150% more than its speed in upstream. If the time taken by the boat for going 80 km downstream and 50 km upstream is 8.2 hours, then what is the speed (in km/h) of the boat in downstream?