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Nirmalspeed
Guest
Juliette and her sister Lucile lived together in that beautiful town of Montreux by Lac Leman in the Swiss Alps. In the springtime one of their favorite walks was to go up to the lovely fields of naricissi growing on the mountain slopes nearby. On one occasion they came to a long staight stretch of road, and at a certain point on it, they left the road and walked at right angles across a field to a large clump of narcissi. Juliette stopped to pick some of the flowers 40 meters away from the road, while lucile also collected some flowers another meter farther on. Suddenly they looked up to see a bus going along the road to Montreux. When they had decided to ride home, the bus was 70 meters away from the point where they left the road to walk across the filed. They ran at half the speed the bus traveled to the point where they left the road and missed the bus! there is at least one point on that stretch of road where the bus could have been caught. Can you calculate where they should have run and if both of the sisters could have caught the bus?