I'm having some trouble with #28.
I'm having some difficulty understanding this problem (28)
I got an answer B, or that statement 2 is sufficient alone to determine how many hours it would have taken machine X to fill out everything.
Machine X: xrate/ hour, 4 hours, so output = 4x
Machine Y: y rate/hour, 3 hours, so output = 3y.
(1) Insuf
(2) Suff... because:
4x = (3y) * 2
4x = 6y
y = 4/6x, = 2/3x.
New rate table:
Machine X: xrate/ hour, 4 hours, so output = 4x
Machine Y: 2/3x rate/hour, 3 hours, so output = 2x.
we know that the entire lot = 4x + 3y, so the new total output is 6x.
If machine X is to operate on its own, at rate X... x (rate) * time = 6x.
Time = 6 hours to operate the entire thing.
Is this logic flawed?
Quote:
****28.Machines X and Y produced identical bottles at
different constant rates. Machine X, operating alone
for 4 hours, filled part of a production lot; then
machine Y, operating alone for 3 hours, filled the rest
of this lot. How many hours would it have taken
machine X operating alone to fill the entire
production lot?
(1) Machine X produced 30 bottles per minute.
(2) Machine X produced twice as many bottles in 4hours as machine Y produced in 3 hours.
let X = time it takes Machine X to fill lot
let Y = time it takes Machine Y to fill lot
4*(1/X) + 3*(1/Y) = 1
From Statement 1 we know the total number of bottles made in four hours by Machine X
NOT SUFFICIENT
From Statement 2 we know that Machine Y produced half the total mentioned above in three hours
Using this info, we can determine how long it would take Machine X to fill the lot:
Total # of bottles * (1 hr / (30*60) bottles) = Number of Hours it would take Machine X to fill the lot
ANSWER: C. Both statements together are sufficient***