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

Redeem

Machines X and Y produced identical bottles at different con

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 7187
Joined: Thu Sep 07, 2017 4:43 pm
Followed by:23 members

Machines X and Y produced identical bottles at different con

by BTGmoderatorDC » Thu Jun 06, 2019 5:40 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

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.

OA B

Source: Official Guide
Top
Source: — Data Sufficiency |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 am
Location: Grand Central / New York
Thanked: 470 times
Followed by:34 members

by Jay@ManhattanReview » Thu Jun 06, 2019 8:37 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

BTGmoderatorDC wrote: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.

OA B

Source: Official Guide
Say

Machine X filled X bottles in 4 hours; thus, Machine X's rate = X/4 bottles per hour; and
Machine Y filled X bottles in 3 hours; thus, Machine Y's rate = Y/3 bottles per hour

We have to find out in how many hours will Machine X will fill (X + Y) bottles. It will take (4 + 4Y/X) hours.

If we get the value of Y/X, we get the answer.

Question rephrased: What's the value of Y/X?

Let's take each statement one by one.

(1) Machine X produced 30 bottles per minute.

No information about Machine Y. Insufficient.

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

=> X = 2Y => Y/X = 1/2. Sufficient.

Machine X will take 4 + 4Y/X = 4 + 4*(1/2) = 6 hours fill the entire production lot.

The correct answer: B

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: GRE Manhattan | TOEFL Prep Courses Boston | IELTS Prep Courses San Francisco | Philadelphia ACT Tutoring | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
Top
Post new topic Post Reply
• Page 1 of 1