Ashley needs to ride her bike to her friend’s house 96 miles away. She is riding at an average rate of 15 miles per hour. She has 6 hours to get there. Will she make it? Explain by showing your work

No

Step-by-step explanation:

Distance = Rate * Time

Rate = 15 mph

Time = 6 hours

Distance = 15 * 6

Distance = 90

90< 96

She cannot make it :(

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