GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 14 Dec 2019, 21:41 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If Jim earns x dollars per hour, it will take him 4 hours to

Author Message
TAGS:

### Hide Tags

Manager  Status: Its Wow or Never
Joined: 11 Dec 2009
Posts: 137
Location: India
Concentration: Technology, Strategy
GMAT 1: 670 Q47 V35 GMAT 2: 710 Q48 V40 WE: Information Technology (Computer Software)
If Jim earns x dollars per hour, it will take him 4 hours to  [#permalink]

### Show Tags

7 00:00

Difficulty:   55% (hard)

Question Stats: 63% (01:41) correct 37% (01:38) wrong based on 286 sessions

### HideShow timer Statistics

If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost?

(1) Tom makes 20% less per hour than Jim does.

(2) x + y = $43.75 ##### Most Helpful Expert Reply Veritas Prep GMAT Instructor V Joined: 16 Oct 2010 Posts: 9876 Location: Pune, India Re: Price of jacket [#permalink] ### Show Tags 4 2 mojorising800 wrote: If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost? (1) Tom makes 20% less per hour than Jim does. (2) x + y =$43.75

You can also use ratios here to arrive at answer (B) in moments.

Time taken by Jim : Time take by Tom = 4:5
Hourly rate of Jim : Hourly rate of Tom = 5:4 = x:y
(Since Money Earned = Hourly Rate * Time and Money to be earned is the same for both Jim and Tom)

Statement 1: We already know that hourly rate of Tom is 20% less than the hourly rate of Jim (because it is in the ratio 5:4). No information about actual dollar amount so not sufficient.

Statement 2: On the ratio scale, x+y is 9 but it is actually 43.75. So we can get the values of x and y and hence can find the cost of the jacket. Sufficient.

Note: You don't need to calculate the cost of the jacket. You just need to say whether you can calculate it.

For more on ratios, see
http://www.veritasprep.com/blog/2011/03 ... of-ratios/
http://www.veritasprep.com/blog/2011/03 ... os-in-tsd/
http://www.veritasprep.com/blog/2011/03 ... -problems/
_________________
Karishma
Veritas Prep GMAT Instructor

##### General Discussion
Manager  Joined: 14 Mar 2011
Posts: 183

### Show Tags

2
It is given tom earns X $per hour and it takes him 4 hrs to purchase the jacket. so price of jacket 4x$. Now jim earns Y and it takes him 5hrs to earn enough to buy the jacket. So jacket's price = 5y.

so 4x= 5y thus x= 5y/4.

(1) Insufficient. - It is a redundant information. The question stem already gives the relation between x and y.

(2) sufficient - x + y = 43.75, so substitute the value of x for y. 5y/4 + y =43.75 >> 9y= 43.75 * 4 >> the price of jacket is 5y , so price = 43.75* 5*4 /9 = 875/9 $B is the answer. Senior Manager  Joined: 03 Mar 2010 Posts: 336 Schools: Simon '16 (M$)

### Show Tags

3
Jim's rate x dollar/hour.
Tom's rate y dollar/hour

Money made by Jim in 4 hours = Money made by Tom in 5 hours
=> 4x=5y----(1)

Stmt1: y=x-0.2x => y=0.8x
Put in (1) => 4x=4x. Same equation. Not sufficient.

Stmt2: x + y = $43.75 Also, 4x = 5y. Two equation , two unknown. Sufficient. OA B _________________ My dad once said to me: Son, nothing succeeds like success. Manager  Status: ==GMAT Ninja== Joined: 08 Jan 2011 Posts: 174 Schools: ISB, IIMA ,SP Jain , XLRI WE 1: Aditya Birla Group (sales) WE 2: Saint Gobain Group (sales) Re: Price of jacket [#permalink] ### Show Tags mojorising800 wrote: If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost? (1) Tom makes 20% less per hour than Jim does. (2) x + y =$43.75

B For me
as A and the information given in the question are same

B give an additional equation which is required to solve for the values

I wish these types of questions come in my real GMAT.......  Director  Joined: 01 Feb 2011
Posts: 531

### Show Tags

Jack - $x/hr has to work 4 hours to be able to buy a jacket =$4x spent on the jacket

Tom - $y/hr has to work 5 hours to be able to buy the same jacket =$5y spent on the jacket

=>4x=5y=?

1. Not sufficient

y =(80/100)x => y =4x/5=>5y =4x

which is exact same equation

2. Sufficient
we can solve this equation and equation in the stem to get the jacket price.

SVP  P
Joined: 24 Jul 2011
Posts: 1919
GMAT 1: 780 Q51 V48 GRE 1: Q800 V740 Re: If Jim earns x dollars per hour, it will take him 4 hours  [#permalink]

### Show Tags

4x = 5y
=> x/y = 4/5

Statement (1) just restates this fact, so nothing new here. Insufficient.
Statement (2) gives us another equation in x and y which we can solve to find x (or y) and calculate 4x or 5y. Sufficient.

(B) it is.
_________________

Awesome Work | Honest Advise | Outstanding Results

Reach Out, Lets chat!
Email: info at gyanone dot com | +91 98998 31738 | Skype: gyanone.services
Manager  Joined: 27 Oct 2011
Posts: 116
Location: United States
Concentration: Finance, Strategy
GPA: 3.7
WE: Account Management (Consumer Products)
Re: If Jim earns x dollars per hour, it will take him 4 hours  [#permalink]

### Show Tags

+1 B
solve for x and solve for y. x = price of jacket / 4 and y = p/5.
when you know the relative rates of x and y they only tell you what p equals each other...
X + Y will you the rates and setting p/4 + p/5 you can solve what p is equal to.
Intern  Joined: 08 Nov 2012
Posts: 19
Re: If Jim earns x dollars per hour, it will take him 4 hours  [#permalink]

### Show Tags

I dont understand why A is not sufficient. If tom earns 80% of what Jim makes, then i get the equation .8x(5)=x(4) where I got x=6.25 plug that back into the givens and I get the answer for J. I understand how you can say that this is not giving us new information but when you plug it back in you get an answer for J.

Here was my math

.8x(5)=x(4)

5=.2x(4)
1.25=.2x
x=6.25

Can someone help me understand where I went off into the wrong direction? Ive got this problem wrong 3x in the course of my studies and cannot understand where I am losing it. Thanks
Verbal Forum Moderator B
Joined: 10 Oct 2012
Posts: 583
Re: If Jim earns x dollars per hour, it will take him 4 hours  [#permalink]

### Show Tags

Richard0715 wrote:
I dont understand why A is not sufficient. If tom earns 80% of what Jim makes, then i get the equation .8x(5)=x(4) where I got x=6.25 plug that back into the givens and I get the answer for J. I understand how you can say that this is not giving us new information but when you plug it back in you get an answer for J.

Here was my math

.8x(5)=x(4)

5=.2x(4)
1.25=.2x
x=6.25

Can someone help me understand where I went off into the wrong direction? Ive got this problem wrong 3x in the course of my studies and cannot understand where I am losing it. Thanks

Jim earns 4*x dollars in 4 hours = price of the jacket = 4x.
Similarly, Tom earns 5*y dollars in 5 hours = price of the same jacket = 5y.
Thus as 4x = 5y, we have y = 0.8x

Now from F.S 1, we know that Tom makes 80% of what Jim earns per hour--> Thus, y = 0.8x. This is exactly what we had, without the aid of any Fact Statements. Thus Insufficient.
_________________
Manager  Joined: 10 Jun 2015
Posts: 110
Re: If Jim earns x dollars per hour, it will take him 4 hours to  [#permalink]

### Show Tags

mojorising800 wrote:
If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost?

(1) Tom makes 20% less per hour than Jim does.

(2) x + y = $43.75 Jim x dollars 4 hours Tom y dollars 5 hours Since 4x = 5y, x/y 5/4; it implies y is 20% less than x Therefore, statement (1) is redundant. state(2) x+y =43.75 4x=5y therefore, x and y can be found It is sufficient to answer the question Senior Manager  P Joined: 09 Mar 2017 Posts: 485 Location: India Concentration: Marketing, Organizational Behavior WE: Information Technology (Computer Software) Re: If Jim earns x dollars per hour, it will take him 4 hours to [#permalink] ### Show Tags Bunuel wrote: skrishnakarthik wrote: If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost? (1) Tom makes 20% less per hour than Jim does. (2) x + y =$43.75

Merging similar topics. Please refer to the solutions above.

Hello Bunuel,

Everything is fine with this question and its solution presented above, except for the part which reads- "it will take him 4 hours to earn exactly enough money to purchase a particular jacket".
Shouldn't this convert to 4x is greater than or equal to the price of the jacket, in compatibility with "exactly enough money"?
Thank you
_________________
------------------------------
"Trust the timing of your life"
Hit Kudus if this has helped you get closer to your goal, and also to assist others save time. Tq Math Expert V
Joined: 02 Sep 2009
Posts: 59725
Re: If Jim earns x dollars per hour, it will take him 4 hours to  [#permalink]

### Show Tags

1
TaN1213 wrote:
Bunuel wrote:
skrishnakarthik wrote:
If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost?

(1) Tom makes 20% less per hour than Jim does.

(2) x + y = \$43.75

Merging similar topics. Please refer to the solutions above.

Hello Bunuel,

Everything is fine with this question and its solution presented above, except for the part which reads- "it will take him 4 hours to earn exactly enough money to purchase a particular jacket".
Shouldn't this convert to 4x is greater than or equal to the price of the jacket, in compatibility with "exactly enough money"?
Thank you

I'd translate "enough" as $$\geq$$ but "EXACTLY enough" as $$=$$.
_________________
Non-Human User Joined: 09 Sep 2013
Posts: 13737
Re: If Jim earns x dollars per hour, it will take him 4 hours to  [#permalink]

### Show Tags

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________ Re: If Jim earns x dollars per hour, it will take him 4 hours to   [#permalink] 18 Mar 2019, 08:13
Display posts from previous: Sort by

# If Jim earns x dollars per hour, it will take him 4 hours to  