SOLUTION: of 5x workers can build a car in 4y days how many days will it take 2z work at the same rate to build the same car?

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Question 765251: of 5x workers can build a car in 4y days how many days will it take 2z work at the same rate to build the same car?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This question is probably faulty; not because of the variable number of worker and days as part of the rate, but because of ,"2z work at the same rate..." .

The quantity of workers, 2z, will work at a different rate than 5x workers, and at a different rate than just one worker.

I will give a solution, but it may be to a question different than the one you really want.

Rate information given is that 5x workers do this way:
5x workers____________4y days
This means,
1 worker_____________5x%2A4y days, or 20xy days
Rate of 1 worker is 1%2F%2820xy%29 car per day.

Now for a group of 2z workers, the rates of all the workers in the team or group are simply additive. This gives us an expected rate for these 2z workers of 2z%281%2F%2820xy%29%29=%282z%29%2F%2820xy%29=highlight%28z%2F%2810xy%29%29 car per day.

That rate as is obvious is in car per day; and you wanted the number of days per car, which is the reciprocal, so ....
highlight%28%2810xy%29%2Fz%29 DAYS PER CAR.