During a rainstorm a pail collects 1/3 of an inch of water in 5/6 of a minute. At what rate is the pail collecting water?

2/5 of an inch per minute

Step-by-step explanation:

You can set up the rate as  .  From here to find the amount of rain per minute, just multiply the numerator and denominator by 6/5 (The reciprocal of 5/6, so you can have one minute and see how much rains fills up in that time.)

You end with 2/5 of and inch per minute

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2