SOLUTION: 12 engineers worked together and completed 30 identical cars in 6 days. Assuming that all engineers worked at the same rate, how many days would it take 18 engineers to build 15 id
Algebra ->
Rate-of-work-word-problems
-> SOLUTION: 12 engineers worked together and completed 30 identical cars in 6 days. Assuming that all engineers worked at the same rate, how many days would it take 18 engineers to build 15 id
Log On
Question 760731: 12 engineers worked together and completed 30 identical cars in 6 days. Assuming that all engineers worked at the same rate, how many days would it take 18 engineers to build 15 identical cars? Found 2 solutions by josmiceli, ramkikk66:Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! 12 engineers working together can build 30 identical cars in 6 days.
-------------
Half as many engineers can build the same number in twice that time, so
6 engineers working together can build 30 identical cars in 12 days.
------------
Three times that many engineers can build the same
number in one-third that time, so,
18 engineers working together can build 30 identical cars in 4 days.
------------
18 engineers working together can build half that number of cars
in half that time, so
18 engineers working together can build 15 identical cars in 2 days.
You can put this solution on YOUR website! Principle 1: Number of cars built is directly proportional to number of engineers. (i.e. more engineers, more cars built)
Principle 2: Time taken to build cars is inversely proportional to number of engineers (i.e. if you have more engineers, it will take a lesser time to build the same number of cars)
Principle 3: Number of cars is directly proportional to the time taken. (i.e. if you have more cars to build, it will take longer - if the number of engineers is the same)
Now, given that 12 engineers make 30 cars in 6 days.
i.e. 1 engineer can make 30 cars in days
---> because time taken is inversely proportional to number of engineers
i.e. 1 engineer can make 1 car in days
Now if we have to build 15 cars with 18 engineers?
1 engineer can make 15 cars in days
So, 18 engineers can make 15 cars in days
Ans: 18 engineers can make 15 cars in 2 days.
:)
(