Q:

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

Accepted Solution

A:
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