A man riding on a bicycle cover a distance of 60km in a direction of wind and come back to his original position in 8 hours. If the speed of the wind is 10 km/hr. Find the speed of the bicycle.
In the adjoining figure, AD is the bisector of the exterior angle A of triangle ABC. Seg AD intersects the side BC produced in D. Prove that: BD/CD=AB/AC.
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