The Problem
The school band is making a large banner for its annual fall concert. After the
band members worked for one hour, the band director entered the room and
asked how many feet long the completed banner would be. The trombone
section leader replied, "We're not sure. The trombone section and the
clarinet section work at different rates, but we are sure that the length of the
banner will be 40 feet and 1/2 the total banner's length."
How long will the banner be?