I watched 1000 ants build an anthill in 5 hours. Working at the same rate, 2500 ants could have built the anthill in ? hours?

Question

A. 1
B. 2
C. 3
D. 4

I made a proportion of 1000/5=2500/x, and got 12.5, but that's not a choice. HELPS!

Answer 1

None of your answer choices can possibly be correct. The answers are all less than 5 hours, but your question asks about the time for more ants.

I suspect you miscopied the question.

Answer 2

That's what I thought, but that's what the question says... Might be a bad question. Thanks though!

Answer 3

The time is inversely proportional to the number of ants, that is,
as the number of ants increase, the time needed to build the anthill decreases

time = k/ants
if time = 5, ants = 1000
5 = k/1000
k = 5000

time = 5000/ants
time = 5000/2500
time = 2 hrs

or simply as an inverse ratio

time/5 = 1000/2500
time = 5000/2500 = 2

Answer 4

Oops! I really screwed this one up.

Thanks, Reiny.

Answer 5

Welcome Ms Sue, :)