Races and Games - General Questions

In a game of 50 points, A can give B 15 points and B can give C 15 points. How many points can A give C?

In a game of 100 points, A can give B 10 points and B can give C 10 points. How many points can A give C?

A runs 1 1/9 times as fast as B. If A gives B a start of x metres so that the race of 300 m ends in a dead heat, what is x?

A runs 1 1/3 times as fast as B. If A gives B a start of x metres so that the race of 1000 m ends in a dead heat, what is x?

A runs 1 1/9 times as fast as B. If A gives B a start of x metres so that the race of 500 m ends in a dead heat, what is x?