How far will Charlie travel when driving at 55 mph and traveling for 3 hours?

If Charlie going at constant rate of 55 miles per hour for 3 hours, then we can just simply multiply the two, so..

55 (3) = 165

answer: the common difference is -0.10

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4