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### Class 12 Book Solution from Miscellaneous in Linear Programming Question No: 244

The diagram below is the top view design of a new railway system. Eight station are being built, marked with letters A to H below. You have been asked to do some calculation for the railway company. As an engineer you know that:

AF || BE and AC || GD

$\frac{AB}{BC} = \frac{5}{8}, \frac{AG}{AF} = \frac{8}{15}, \frac{FE}{FC} = \frac{5}{13}$ and $\frac{CD}{DF} = \frac{8}{7}$

If the straight-lines distance of the track from F to C is 390 kilometers and it takes 40 hours to build one kilometer of the track, determine the number of hours it will take to build the section from E to D.