Question 50407
if length of the shortest piece is "L", then the next is 2L, the next is 4L, and the next is 8L.

L+2L+3L+4L+8L = 60
18L = 60

{{{L = 60/18 = 10/3}}}

the longest piece is {{{8L = 8*(10/3) = 80/3 = 26&2/3}}}. 

Please verify what I did to make sure that I did not make a mistake.