Leo reads 10 pages in 1/4 hour. what is the unit rate for pages per hour? for hours per page?

40 pages/hr and 1/40 hour per page

Step-by-step explanation:

(a) unit rate for pages per hour:

10 pages

= 40 pages/hr

  1/4 hour

(b) unit rate for hours per page:

 1/4 hour

= 1/40 hour per page

 10 pages

look a the sides they are perpendicular

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