math challenge

Week of August 18 - 24, 1997

Love Bugs

Two love bugs are on a cube with sides measuring 16 cm in length.
Redbug is 12 cm from point A.
Bluebug is 2 cm from point B.
The two love bugs plan to meet for their first date at point X which is 14 cm from point C.
Redbug and Bluebug shyly inch towards each other along path shown until they finally reach point X.

If Redbug's speed is N cm/second where N is an integer, what is Bluebug's speed in terms of N?

If Redbug takes less than 5 seconds to arrive, what is her minimum speed?

See the solutions