Think of the lengths in units. If the shorter pipe is 1 unit, then the longer pipe is 7 units (7xthe shorter pipe). After the plumber cuts some off, the longer pipe is only 3 units (3xthe shorter pipe). So the length of piece cut off is 7 - 3 = 4 units, which is 2.2m long, so
4 units = 2.2 meters
1 unit = 0.55 meters
So the shorter pipe is 0.55 meters in length.