Ruth hires a plumber who charges £40 per hour plus sales tax at 15%. She is charged £368 for her total bill.
How many hours did Ruth hire the plumber for?

answer: 2/4

step-by-step explanation:

the answer is 31.27mph

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