Jim is driving home from work at an average rate of 60 miles/hour. He lives 20 miles from his office. As soon as he gets home, he realizes he left his wallet at the office. He drives back to the office at the same constant speed of 60 miles/hour. We can model this scenario by writing the function d(t) = |20 − t|, where t is the time (in minutes) that Jim drives and d is the distance in miles.

4444444444444 i think

5   1/4   miles per hour

step-by-step explanation:

15   3/4 / 3 = 5   1/4

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