Hello,
Can you please help tell me if my approach here is correct for Stmnts. 1 and 2?
Machines X and Y produced identical bottles at different constant rates. Machines X. operating alone of 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.
OA: B
1) Machine X produced 30 bottles per minute = 1800 bottles per hour. Hence, in 4 hours Machine X produces 1800 x 4 = 7200 bottles. However, we don't know how many bottles Machine Y produces in 3 hours. Hence, in-sufficient.
2)
Rate x Time = Work
X: r1 x 4 = 4r1
Y: r2 x 3 = 3r2
Given, 4r1 = 2(3r2)
=> 4r1 = 6r2
=> r1 = (6/4)r2
=> r1 = (3/2)r2
Rate x Time = Work
X: (3/2)r2 x 4 = 6r2
Y: r2 x 3 = 3r2
So,
X: (3/2)r2 x ? = 9r2
On solving, we get t = 6 hours. Hence, Sufficient.
Is this approach correct?
Thanks a lot.
Regards,
Sri
Time taken by Machine X to fill the entire lot
This topic has expert replies
-
- Legendary Member
- Posts: 641
- Joined: Tue Feb 14, 2012 3:52 pm
- Thanked: 11 times
- Followed by:8 members
GMAT/MBA Expert
- [email protected]
- Elite Legendary Member
- Posts: 10392
- Joined: Sun Jun 23, 2013 6:38 pm
- Location: Palo Alto, CA
- Thanked: 2867 times
- Followed by:511 members
- GMAT Score:800
Hi Sri,
Yes, your work (and deductions) are correct. Fact 2 is essentially "ratio data", which means that it can be used in a variety of "ratio math" approaches to answer these types of questions. You could also TEST VALUES to answer this question.
GMAT assassins aren't born, they're made,
Rich
Yes, your work (and deductions) are correct. Fact 2 is essentially "ratio data", which means that it can be used in a variety of "ratio math" approaches to answer these types of questions. You could also TEST VALUES to answer this question.
GMAT assassins aren't born, they're made,
Rich