Question

Carlos and Sam together unpacked cartons
for 3 hours at a rate of 8 cartons per hour.
During that time, Carlos unpacked twice as
many cartons as Sam. How many cartons
did each of them unpack?

Answer 1

Carlos unpacked 24 cartons and Sam unpacked 12 cartons.

Answer 2

Let Sam's rate be x cartons/hr
then Carlos' rate would be 2x cartons/h
combined rate = 3x cartons/hr

so in 3 hours they unpacked 3(3x) cartons
so 9x = 24
x = 8/3 cartons

Sam rate is 8/3 cartons/hr, and Carlos' rate is 16/3 cartons/hr
so Sam did (8/3)(3) or 8 cartons, and Carlos did 16/3)(3) or 16 cartons

Check: their combined rate would be (8/3 + 16/3) or 8 cartons/hr
so in 3 hours they would unpack 24 cartons

my answer is correct, the bot's answer makes no sense,

Answer 3

The question was, how many cartons did each unpack. Not how fast they did it.

3 hours at a rate of 8 cartons per hour = 24 cartons.
So Sam did 8 and Carlos did 16.