Question
ABC is a right angled triangle. ∠ BAC =
90o and ∠ ACB = 60o. What is the ratio of the circum radius of the triangle to the side AB?Solution
In a right angled triangle circum radius is half of the hypotenuse AC/2 =R AC=2R Also Sin 60=AB/AC √3 / 2 = AB/AC √3 / 2 = AB/2R R/AB=1: √3
A cyclist covers a distance of 14 km in 25 minutes. How much distance will he cover in 18 minutes (in km)?
The speed ratio of Y and Z is 5 : 4. If Y increases his speed by 25%, he can cover 300 km in 4 hours. How long will Z take to travel 192 km?
P' travelled from Delhi to Agra, covering a total distance of 396 km. For the initial three hours, he maintained an average speed of ‘a’ km/h. After...
Two cars, labeled 'A' and 'B', simultaneously depart from the same starting point, traveling in the same direction. Car 'A' moves at a speed of 15 km/h,...
Two trains of lengths 120 m and 150 m are moving in opposite directions at speeds of 45 km/h and 30 km/h, respectively. How much time will they take to ...
A car is traveling at a speed of 144 km/hr. The car's tires have a diameter of 70 m. How long will it take for the car to complete 12 revolutions of its...
The speed of an electric car is 100 km/h, taking 7 hours to traverse a distance. A bus takes 5 hours to cover the same distance. If the electric car's s...
- A security guard notices a suspect 120 meters ahead and starts chasing him. The suspect runs at a speed of 18 m/sec, while the security guard runs at 22 m/...
- ‘X’, ‘Y’ and ‘Z’ can complete one lap around a circular track in 10 seconds, 15 seconds, and 20 seconds respectively. If they all start from th...
- A bus leaves town 'X' at 9:30 AM heading towards 'Y' at a speed of 50 km/h. A van starts from the same place at 11:00 AM towards 'Y' at 70 km/h. At what ti...
