BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Bottles

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Master | Next Rank: 500 Posts
Posts: 489
Joined: Tue Jul 05, 2011 11:10 am
Thanked: 28 times
Followed by:5 members

Bottles

by gmatblood » Sun Nov 06, 2011 1:51 pm
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 4 hours as machine Y produced in 3 hours.
Top
Source: — Data Sufficiency |
User avatar
Legendary Member
Posts: 588
Joined: Sun Oct 16, 2011 9:42 am
Location: New Delhi, India
Thanked: 130 times
Followed by:9 members
GMAT Score:720

by rijul007 » Sun Nov 06, 2011 2:05 pm
(1) Machine X produced 30 bottles per minute.

We dont know the no of bottles in the production lot.

Insufficient

(2) Machine X produced twice as many bottles in 4 hours as machine Y produced in 3 hours.

Lets say Machine X produced x in 4 hrs, and M/c Y produced y in 3 hrs

x = 2y
y = x/2

Total no of bottles = x+x/2 = 3x/2

x bottles ========== 4hrs
3x/2 bottles ======= 6 hrs

Sufficient

Option A
Top
Master | Next Rank: 500 Posts
Posts: 385
Joined: Fri Sep 23, 2011 9:02 pm
Thanked: 62 times
Followed by:6 members

by user123321 » Sun Nov 06, 2011 5:14 pm
let X takes x hours and Y takes y hours.
X works 4 hours => X's fraction of work = 4/x
Y works 3 hours => Y's fraction of work = 3/y
from given = both fractions should add to 1 => 4/x+3/Y = 1 => 4y+3x = xy
we need to find x in above equation.
1) this is insufficient as we dont know the definition of producing how many bottles equals 1 job.
hence insufficient.
2) here,
X - 2p bottles - 4 hours
Y - p bottles - 3 hours
X - p bottles - 2 hours
so y = 1.5x hoours
so substituting we get x = 6 hrs. hence sufficient.

user123321
Just started my preparation :D
Want to do it right the first time.
Top
Post new topic Post Reply
• Page 1 of 1