A rocket is divided into three sections: the payload and navigation section in the top, the fuel section in the middle, and the rocket engine section in the bottom. 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 is 240ft. Find the length of each section.

Answer:Top part lenght= 24 ft.Middle part= 72 ft.Bottom part = 144 ft.Step-by-step explanation:First we assign varibales to each rocket parttop part length= x;middle part length= y;bottom part length= z;Then from the reading we can write the next equations:X=1/6 Z; (1)Y=1/2 Z; (2)X + Y +Z = 240 (3)Then solving, we replace x and y, in the equation (3)1/6 z + 1/2 z + z = 240Multiply by 6 both sides:6/6 z + 6/2 z + 6 z = 1440z + 3 z + 6 z = 1440Then grouping similar terms10 z = 1440z= 144Then replacing in (1) and (2)Y=1/2 *144=72X=1/6*144= 24