Two bars and is start at the same point at the same time and travel in opposite directions Jose's average speed is 12 miles per hour more than that of Luis, and after 3 hours the bikers are 90 miles apart. Find the average speed of each biker

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

true

step-by-step explanation:

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5

step-by-step explanation: