I need some help with this problem. A rocket is divided into three sections. The

Question

I need some help with this problem. A rocket is divided into three sections. The top section isone-eighth the length of the bottom section. The middle section isone-half the length of the bottom section. The total length of therocket is 208 ft. Find the length of the top section. Thank you for the help. I need some help with this problem. A rocket is divided into three sections. The top section isone-eighth the length of the bottom section. The middle section isone-half the length of the bottom section. The total length of therocket is 208 ft. Find the length of the top section. A rocket is divided into three sections. The top section isone-eighth the length of the bottom section. The middle section isone-half the length of the bottom section. The total length of therocket is 208 ft. Find the length of the top section. Thank you for the help.

Explanation / Answer

Let 'b' be the length of the bottom section. The top section isone-eighth of the bottom - this can be written as:     top = (1/8)*b The middle is one-half the length of the bottom:     middle = (1/2)*b The total length is 208 ft:     top + middle + bottom = 208       (1/8)*b + (1/2)*b + b = 208 Multiply everything by 8 to get rid of the fractions:     b + 4b + 8b = 208                                  13b = 208                                      b = 16 ft Now substitute this back into the equation for the top section:     Top = (1/8)*b            =16/8            = 2ft

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