SOLUTION: it it take 15 people 8 hours to make 100 items how long would it take 6 people working the same rate to make half as many items?
i tried working this out by dividing 6 and 15 to g
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i tried working this out by dividing 6 and 15 to g
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Question 141402: it it take 15 people 8 hours to make 100 items how long would it take 6 people working the same rate to make half as many items?
i tried working this out by dividing 6 and 15 to get 0.4
then i took 8 and divided it by 0.4 and got 20.
so i ended up with 6 people, 20 hours and 100 items. sinse the question asks for half the items i devided 20 hours and 100 items by 2. and ended up getting 10 hours for 50 items (half the items) but when i showed it to my teach she wanted and actual equation for the problem. but i cant find one for it. Found 2 solutions by scott8148, ankor@dixie-net.com:Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website! basically, this is a proportion problem
__ the time is directly proportional to the number of items (more items, more time)
__ and inversely proportional to the number of people (more people, less time)
t=ki/p __ k is the constant of proportionality __ it is equal to the people-hours needed to make an item
You can put this solution on YOUR website! it it take 15 people 8 hours to make 100 items how long would it take 6 people working the same rate to make half as many items?
:
I think you are right;
Here's one way to do it:
:
Find out how many man-hrs per item
man-hrs = = = 1.2 man-hrs per item
:
Let x = hrs for 6 people to make 50 items
6x = 1.2(50)
:
6x = 60
x =
x = 10 hrs for 6 people to make 50 items
:
Put this all in one equation
x = *
