SOLUTION: The problem is - It took Karla & her helper 24 minutes to feed 18 cats. Working at the same rate, how long should it take Karla and 2 helpers to feed the 18 cats? I was taking 18
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Question 165496: The problem is - It took Karla & her helper 24 minutes to feed 18 cats. Working at the same rate, how long should it take Karla and 2 helpers to feed the 18 cats? I was taking 18/24 = x/2 to find the conversion rate but the answer didnt seem to make sense. Can you show me how to do this problem?
Thanks
Found 2 solutions by ankor@dixie-net.com, MRperkins:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
It took Karla & her helper 24 minutes to feed 18 cats. Working at the same rate, how long should it take Karla and 2 helpers to feed the 18 cats?
:
Treat this like a man-hour problem (girl-minutes in this case)
:
The feeding of the 18 cats required 2*24 = 48 girl-minutes
:
Let x = no. of minutes required, with three working
:
3x = 48
x =
x = 16 min with 3 girls
:
;
Check 16 * 3 = 48 girl-minutes, the completed job requirement
:
Answer by MRperkins(300) (Show Source): You can put this solution on YOUR website!
Understanding this problem will help you solve numerous real-life problems.
.
18/24 is the rate for 2 people.
So find the rate for 1 person by dividing by 2
so you get 18/48 which reduces to 3/8
this is the rate of cats/minute fed by each person so multiply this by 3 people since that is how many people are now working to feed the cats.
You get 9 cats fed every 8 minutes.
.
Now set up the equation to make the conversion:
.
cross multiply and then reduce
9x=18*8
x=16 minutes
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