A rocket is divided into three sections. The top section is one-sixth the length of the bottom section. The middle section is one-half the length of the bottom section. The total length of the rocket is 240 ft. Find the length of the top section

1. By the information given in the problem above, you have:

 - Bottom section=x

 - The top section is one-sixth the length of the bottom section.

 Top section=x/6

 - The middle section is one-half the length of the bottom section.

 Middle section=x/2

 - The total length of the rocket is 240 ft.

 Bottom section+Top section+Middle section=240

 x+x/6+x/2=240

 2. Then, you have the the bottom section is:

 x=144

 3. Therefore, the top section is:

 Top section=x/6
 Top section=144/6
 Top section=24 ft

 The answer is: 24 ft