Question

a rocket is divided into three sections. top section is one-eigth the length of the bottom section. The middle section is one half the length of the bottom section. The total length of the rock is 208 feet. find the length of the top section.

Answer 1

16 feet

Explanation:

Assuming the bottom section to be B, we can say that,

top section =
`(1)/(8)` B

middle section =
`(1)/(2) B (bottom)`

The total length of the rocket is 208 feet so we can write it as:

`(B)/(8) +(B)/(2) +B = 208`

Taking the LCM to get:

`B+4B+8B=1664`

`13B=1664`

`B=128`

Therefore, the length of the top section is
`(128)/(8) =`16 feet, length of middle section is
`(128)/(2) =64 feet` and length of the bottom section is
`128 feet`.