Question
If in a ΔABC, the external angle bisector of angle A,
meets BC when extended at a point D, BD = 5cm , BC = 3 cm then what is AB:AC ?Solution
 Here CD = BD- BC = 5 - 3 = 2cm, By External angle bisector theorem, AB: AC = BD:CD = 3:2
The speed of a car is 25% more than that of a bike. If the time taken by the car to cover (3x + 20) km is equal to the time taken by the bike to cover ...
A truck travels from depot ‘D’ to warehouse ‘W’. If it moves at 80 km/h, it reaches 1 hour early. If it moves at 60 km/h, it reaches 1 hour late...
'A’ and ‘B’ started moving towards each other at same time with a speed of 8 km/hr and 10 km/hr, respectively. If the distance covered by ‘A’ ...
A person travels from town A to town B, a distance of 20 km, at 4 km/h, and then from B to C, a distance of 30 km, at 5 km/h. What is his average speed ...
A car which is moving at a speed of 60 km/hr overtakes a bus which is 800 metres ahead of it in 2 minutes. If the speed of the truck is 50% more than th...
A truck travels a distance of 240 km in 8 hours. The speed of a van is 25% more than that of the truck, and the speed of a scooter is 20% more than that...
A thief is spotted by a policeman from a distance of 200 m. When the policeman starts chasing, the thief also starts running. If the speed of the thief ...
Buses start from a bus terminal with a speed of 20 km/hr at intervals of 12 minutes. What is the speed of a boy coming from the opposite direction towar...
- Two buses ‘R’ and ‘S’, which were 880 km apart, started traveling towards each other at the same time and met after 5.5 hours. If the speed of bus ...
A train running at 72 km/hr takes 20 seconds to pass a platform and the train takes 6.5 seconds to pass a car running at 36 km/hr in the opposite direct...