Four friends took a road trip that lasted 50 hours round trip. Denny drove five times as long as Connor, while Pat and Seth drove the same amount of time. Connor drove half as long as Pat. How long did Denny drive?

Denny drove for 25 hours

Step-by-step explanation:

Here, we want to calculate the amount of time Denny drove

Let the time Connor drove be c

Denny drove 5 times as this which is 5 * c = 5c

Conor drove half as long as Pat

So this means that Pat drove 2 times Conor = 2c

Seth is same as Pat which is also 2c

Adding all gives 50

c + 5c + 2c + 2c = 50

10c = 50

c = 50/10

c = 5 hours

Denny = 5 * c

= 5 * 5 = 25 hours

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584