Solve the word problem using SELFIE and the distributive property of multiplication. Word problems should be answered in a complete sentence. Alex is driving across the country. He needs to drive 8 hours a day for 15 days in order to get to his destination. So far, he has driven 52 hours. How many more hours of driving does Alex have?

68 hours

Step-by-step explanation:

Given

Required

Determine the time left

First, we need to determine the expected time for Alex's trip

The time left is calculated as thus:

Apply Distributive Property

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