math challenge

Week of September 2 - 8, 1996

The Map of Mathooli

In the country of Mathooli, there are four major cities: A, B, C and D. The four cities are along a straight highway that runs west to east, but not necessarily in alphabetical order.

City A is 30 miles from City B.
City B is 40 miles from City C.
City C is 2 miles from City D.

What is the maximum possible distance between City A and City C?

See the solutions