SOLUTION: It takes 2,700 ants 4 hours to carry 2 jam sandwiches 37 metres. How long would it take 8,100 ants to transport 6 jam sandwiches 16 metres? Could you please alter the ratios as yo

Question 762810: It takes 2,700 ants 4 hours to carry 2 jam sandwiches 37 metres. How long would it take 8,100 ants to transport 6 jam sandwiches 16 metres?
Could you please alter the ratios as you go to answer the question. For example:
3 : 5 : 2
x 9/5 x 9/5 This was an example question with 27/5 hours
as the answer.
3 : 9 : 18/5 Increased work means increased time.
x 2/3 x 3/2 How would I complete these questions? I have
questions with both 3 and 4 variables.Thanks
2 : 9 : 27/5
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I just try to use logic at each step
It takes 2,700 ants 4 hrs to carry 2 jam sandwiches 37 m.
3 times as many ants can carry the same number of
jam sandwiches the same distance in 1/3 of that time.
-----------------------------------
8,100 ants take 4/3 hrs to carry 2 jam sandwiches 37 m.
------------------------------------------------
The same number of ants wiil take 3 times longer to
carry 3 times as many js's the same distance, so
-----------------------------------------
8,100 ants take 4 hrs to carry 6 js's 37 m.
------------------------------------
The same number of ants wiil take 16 times longer to
carry the same number of js's m.
----------------------------------------------
8,100 ants take 64 hrs to carry 6 js's 592 m
-------------------------------------
The same number of ants will take 1/37 of that time
to carry the same number of js's 1/37 of that distance
----------------------------------------------
8,100 ants take 64/37 hrs to carry 6 js's 16 m.
This is 1 hr 43 min 47 sec approx.

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