Atap fills a 3/5 gallon tub in 1/6 hour. what is the hourly rate, in gallons/hour at which the tap fills the tub?

3 3/5 gallons per hour

Step-by-step explanation:

3/5 times 6 equals 18/5

18/5=3 3/5

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