Asked by Ryan

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

Answers

Answered by Ms. Sue
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.

Answered by Ryan
That's what I thought, but that's what the question says... Might be a bad question. Thanks though!
Answered by Reiny
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
Answered by Ms. Sue
Oops! I really screwed this one up.

Thanks, Reiny.
Answered by Reiny
Welcome Ms Sue, :)
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