math challenge

Week of March 17 - 23, 1997

I'm Quackers for you!

Dahlia and Danny Duck are on opposite sides of a circular pond. The two ducks have caught each other's eye and want to get closer. The pond has a radius of 100 meters.

Both ducks start across the water towards each other at 8:30 a.m.
Dahlia glides at two meters a minute, then stops for a minute (she wants to play "hard to get").

Danny is somewhat bolder. He glides along for two meters a minute, then stops for half a minute (he doesn't want to seem too eager).

How many minutes will it take for Dahlia and Danny to reach each other, to the nearest minute?

See the solutions