Rachel initially cuts 5 pieces of rope, each measuring 1.2 meters. Therefore, she has used a total of 5 * 1.2 = 6 meters of rope for these 5 pieces.
Now, to find out how much rope is remaining, we subtract the length used from the total length of 10 meters: 10 - 6 = 4 meters.
Rachel then cuts the remaining rope into pieces of length 0.6 meters each. To find out how many such pieces she can make, we divide the remaining length by the length of each piece: 4 / 0.6 = 6.67.
However, since we cannot have a fraction of a piece, we round down to the nearest whole number. Therefore, Rachel cut 6 pieces of rope, each measuring 0.6 meters, from the remaining 4 meters of rope.