Your aunt and uncle have been visiting at your home. five minutes after they drive away, you realize they forgot their luggage. you happen to know that they drive slowly, so you get in your car and drive to catch up with them. your average speed is 10 miles an hour faster than their average speed, and you catch up with them in 25 minutes. how fast did you drive?

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

answer: i'm great at algebra

~coco

step-by-step explanation:

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