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All-Russian Olympiad Regional Round
1999 All-Russian Olympiad Regional Round
8.1
8.1
Part of
1999 All-Russian Olympiad Regional Round
Problems
(1)
father and two sons visit grandmother - All-Russian MO 1999 Regional (R4) 8.`
Source:
9/25/2024
A father and two sons went to visit their grandmother, who Raya lives
33
33
33
km from the city. My father has a motor roller, the speed of which
25
25
25
km/h, and with a passenger -
20
20
20
km/h (with two passengers on a scooter It’s impossible to move). Each of the brothers walks along the road at a speed of
5
5
5
km/h. Prove that all three can get to grandma's in
3
3
3
hours
algebra
combinatorics