MathDB

Points

A

B

, and

C

lie in that order along a straight path where the distance from

A

C

1800

meters. Ina runs twice as fast as Eve, and Paul runs twice as fast as Ina. The three runners start running at the same time with Ina starting at

A

and running toward

C

, Paul starting at

B

and running toward

C

, and Eve starting at

C

and running toward

A

. When Paul meets Eve, he turns around and runs toward

A

. Paul and Ina both arrive at

B

at the same time. Find the number of meters from

A

B

Problem Statement