If it takes 16 faucets 10 hours to fill 8 tubs, how long will it take 12 faucets to fill 9 tubs?
10 faucets --- 10 hours --- 8 tubs
1 faucet ---- 100 hour -----8 tubs
1 faucet -----100/8 hrs ---- 1 tub
1 faucet -----900/8 hrs ---- 9 tubs
12 faucets ----900(8*12) hrs -- 9 tubs
so it will take 900/96 or 9.375 hrs or 9 hrs, 22.5 minutes.
opps i forgot to type my choices sorry D:
my choices are
(A) 10 hours
(B) 12 hours
(C) 13 hours
(D) 14 hours
(E) 15 hours
but i don't understand how you got a lower amount of time if we have less faucets and more tubs to fill?
oops , I read it as 10 instead of 16
my mistake!
so let's simply fix that ...
16 faucets --- 10 hours --- 8 tubs
1 faucet ---- 160 hour -----8 tubs
1 faucet -----160/8 hrs ---- 1 tub
1 faucet -----1440/8 hrs ---- 9 tubs
12 faucets ----1440(8*12) hrs -- 9 tubs
so it will take 1440/96 or 15 hrs or 9 hrs
I think Reiny meant it would take 15 hours to fill 9 tubs.
ohhhh okay thx :]
To find out how long it will take 12 faucets to fill 9 tubs, we can use a unit rate approach.
First, let's determine the unit rate of how long it takes one faucet to fill one tub. We know that 16 faucets can fill 8 tubs in 10 hours. Therefore, the unit rate is 10 hours / 8 tubs = 1.25 hours per tub.
Now that we have the unit rate, we can find out how long it will take 12 faucets to fill 9 tubs. We can set up a proportion using the unit rate:
1.25 hours / 1 tub = x hours / 9 tubs
To solve for x, we can cross-multiply:
1.25 hours * 9 tubs = 1 tub * x hours
11.25 hours = x
So, it will take 12 faucets approximately 11.25 hours to fill 9 tubs.