# Problem of the Week Problem E How Far From Here to There

A cyclist leaves the town of Alphaville and heads toward Betaville. She travels at a constant speed of $$14$$ km/h.

At the same time, a jogger and a walker leave Betaville and head toward Alphaville. The walker travels at a constant speed of $$6$$ km/h and the jogger travels at a constant speed of $$10$$ km/h.

If the cyclist passes the walker $$4$$ minutes after passing the jogger, how far apart are the towns Alphaville and Betaville?