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Math Expert V
Joined: 02 Sep 2009
Posts: 59225
Greg assembles units of a certain product at a factory. Each day he is  [#permalink]

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37 00:00

Difficulty:   55% (hard)

Question Stats: 70% (02:18) correct 30% (02:37) wrong based on 1201 sessions

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Greg assembles units of a certain product at a factory. Each day he is paid $2.00 per unit for the first 40 units that he assembles and$2.50 for each additional unit that he assembles that day. If Greg assembled at least 30 units on each of two days and was paid a total of $180.00 for assembling units on the two days, what is the greatest possible number of units that he could have assembled on one of the two days? A. 48 B. 52 C. 56 D. 60 E. 64 NEW question from GMAT® Official Guide 2019 (PS02102) _________________ ##### Most Helpful Expert Reply GMAT Club Legend  V Joined: 12 Sep 2015 Posts: 4074 Location: Canada Re: Greg assembles units of a certain product at a factory. Each day he is [#permalink] ### Show Tags 8 Top Contributor 3 Bunuel wrote: Greg assembles units of a certain product at a factory. Each day he is paid$2.00 per unit for the first 40 units that he assembles and $2.50 for each additional unit that he assembles that day. If Greg assembled at least 30 units on each of two days and was paid a total of$180.00 for assembling units on the two days, what is the greatest possible number of units that he could have assembled on one of the two days?

A. 48

B. 52

C. 56

D. 60

E. 64

GIVEN: Total pay for 2 days is $180 In order to MAXIMIZE the number of units assembled on one of the days, we must MINIMIZE the number of units assembled on the other day We're told that Greg assembled at least 30 units each day. So, the MINIMUM is 30 units Let's say that Greg assembled 30 units on DAY 1 Payment for Day 1 = (30)($2) = $60 If Greg is paid$60 for Day 1, then he must have received $120 on Day 2. If Greg was paid$120 on Day 2, how many units did he assemble?

GIVEN: Greg is paid $2.00 per unit for the first 40 units that he assembles and$2.50 for each additional unit
So, for the first 40 units, Greg is paid $80 (since 40 x$2 = 80)
$120 -$80 = $40 So, the remaining$40 was paid to Greg for the additional units he assembled at a rate of $2.50/unit$40/$2.50 = 16 units So, the TOTAL number of units assembled = 40 + 16 = 56 Answer: C Cheers, Brent _________________ ##### General Discussion Math Expert V Joined: 02 Aug 2009 Posts: 8201 Re: Greg assembles units of a certain product at a factory. Each day he is [#permalink] ### Show Tags 4 1 Bunuel wrote: Greg assembles units of a certain product at a factory. Each day he is paid$2.00 per unit for the first 40 units that he assembles and $2.50 for each additional unit that he assembles that day. If Greg assembled at least 30 units on each of two days and was paid a total of$180.00 for assembling units on the two days, what is the greatest possible number of units that he could have assembled on one of the two days?

A. 48

B. 52

C. 56

D. 60

E. 64

NEW question from GMAT® Official Guide 2019

(PS02102)

To get the max on one day, minimize on the second day..
So let on one day, it be only 30, so payment for these =30*2=60$Payment on second day =180-60=120.. Subtract for first 40@2per piece=40*2=80 So remaining payment for excess pieces = 120-80=40 Number of pieces@2.5=40/2.5=400/25=16 Total =40+16=56 C _________________ e-GMAT Representative V Joined: 04 Jan 2015 Posts: 3142 Re: Greg assembles units of a certain product at a factory. Each day he is [#permalink] ### Show Tags 1 3 Solution Given: • Payment per unit =$2 for the first 40 units, $2.50 for each additional unit • Greg assembled at least 30 units on each of two days, and was paid$180 in total

To find:
• The greatest possible number of units that he could have assembled in one of the two days

Approach and Working:
• As we are trying to maximise the number of units that Greg could have assembled on a given day, we should minimise the number of units assembled on the other day
• As the minimum units assembled in a day is 30 units, the payment for those 30 units = 30 * $2 =$60
• Therefore, the payment for the other day = $180 –$60 = $120 Out of the payment of$120, the payment for the first 40 units will be 40 * 2 = $80 • Hence, the payment for the remaining units =$120 - $80 =$40

As the payment for each of the remaining units is $2.50, • The number of remaining units = $$\frac{40}{2.50}$$ = 16 • Therefore, the maximum possible units assembled = 40 + 16 = 56 Hence, the correct answer is option C. Answer: C _________________ Intern  B Joined: 03 Mar 2018 Posts: 30 GMAT 1: 620 Q44 V31 Re: Greg assembles units of a certain product at a factory. Each day he is [#permalink] ### Show Tags 1 Bunuel wrote: Greg assembles units of a certain product at a factory. Each day he is paid$2.00 per unit for the first 40 units that he assembles and $2.50 for each additional unit that he assembles that day. If Greg assembled at least 30 units on each of two days and was paid a total of$180.00 for assembling units on the two days, what is the greatest possible number of units that he could have assembled on one of the two days?

A. 48

B. 52

C. 56

D. 60

E. 64

NEW question from GMAT® Official Guide 2019

(PS02102)

A minimum of 30 units are assembled in 1 day.

Total earnings = $180 in 2 days. Day 1: 30 units *2 =$60 (Assumed since we need to find the maximum number of units assembled in a day.)

Day 2: 40 units *2 = $80 Total$140 (Balance $40 (180-140)) For every additional unit, Greg earns$2.5 per unit. That means he earned $40 in the enhanced rate. Therefore, additional units = 40 / 2.5 = 16 units. (These are assumed to be assembled in Day 2 since we need to find the maximum number of units assembled in a day.) Therefore, total number of units assembled in Day 2 is 40 + 16 = 56 units. Answer: C _________________ KUDOS appreciated! Target Test Prep Representative V Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 8453 Location: United States (CA) Re: Greg assembles units of a certain product at a factory. Each day he is [#permalink] ### Show Tags 2 1 Bunuel wrote: Greg assembles units of a certain product at a factory. Each day he is paid$2.00 per unit for the first 40 units that he assembles and $2.50 for each additional unit that he assembles that day. If Greg assembled at least 30 units on each of two days and was paid a total of$180.00 for assembling units on the two days, what is the greatest possible number of units that he could have assembled on one of the two days?

A. 48

B. 52

C. 56

D. 60

E. 64

Since we want to determine the greatest possible number of units he could have assembled in one day, we can assume he assembled only 30 units (the least number of units) in one of the two days. Thus, the number of units he will will have assembled on the other day must be maximum. If he assembled 30 units in one day, he will have earned 2(30) = $60 on that day and$120 on the other day. We can let x = number of units he assembled on the other day, and so we have:

2(40) + 2.5(x - 40) = 120

80 + 2.5x - 100 = 120

2.5x = 140

x = 56

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Intern  B
Joined: 26 Jun 2018
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Schools: IIMB EPGP"20 (A)
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Re: Greg assembles units of a certain product at a factory. Each day he is  [#permalink]

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Total earning =$180 Minimum earned in two days = 30*2*2 =$60
Remaining = 180-120=60

Day1+Day2 = 60 = 2*10+2.5*x1 +2*10+2.5*x2

Earning on one of the days could be maximum if the other day's earning is minimum hence assuming it was minimum=0

Therefore, 2*10+2.5*x1=60 => x1=16
So total no of hours worked =40+16 = 56
2
Manager  B
Joined: 24 Sep 2018
Posts: 99
Location: India
Greg assembles units of a certain product at a factory. Each day he is  [#permalink]

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Greg assembles units of a certain product at a factory. Each day he is paid $2.00 per unit for the first 40 units that he assembles and$2.50 for each additional unit that he assembles that day. If Greg assembled at least 30 units on each of two days and was paid a total of $180.00 for assembling units on the two days, what is the greatest possible number of units that he could have assembled on one of the two days? A. 48 B. 52 C. 56 D. 60 E. 64 let Day 1: 30 *2 =60 dollar So remaining money =180-60= 120 Day 2: don't get confuse in "If Greg assembled at least 30 units on each of two days and was paid a total of$180.00 "

That dose not mean that on day2 or day 1 he will do only 30 unit work. its at least means minimum 30 unit. Max anything he can work.

So remain 120 dollar we need to calculate

for 1st 40 unit 2 dollar = 40*2 =80 dollar

Now remaining 120-80 =40 dollar ( Which is extra work)

so 40/2.50 = 16 unit extra work

So either on Day 1 or Day 2 he has work : 40+16= 56 units of work

Ok if I will go with 60 or 64:

Lets calculate for 60:

Day 1 = 30 (minimum he has to work) = 30 * 2 =60

Remaining = 180 - 60 = 120

if he has work 60* 2 =120 ( Not possible as for 1st 40 he is getting 2 dollar)

So 40*2 =80

remaining if we will do 20* 2.50 dollar = 50 dollar so total 60+80+50 = 190 ( WRONG)

he has received only 180 dollar , We can't go beyond this. So by looking at your ans choice we can eliminate D,E( Going beyond 180)

In A, B ( it will go less then 180)

So 56 is the correct answer.
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Bijaya

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Intern  Joined: 17 Aug 2019
Posts: 2
Re: Greg assembles units of a certain product at a factory. Each day he is  [#permalink]

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chetan2u wrote:
Bunuel wrote:
Greg assembles units of a certain product at a factory. Each day he is paid $2.00 per unit for the first 40 units that he assembles and$2.50 for each additional unit that he assembles that day. If Greg assembled at least 30 units on each of two days and was paid a total of $180.00 for assembling units on the two days, what is the greatest possible number of units that he could have assembled on one of the two days? A. 48 B. 52 C. 56 D. 60 E. 64 NEW question from GMAT® Official Guide 2019 (PS02102) To get the max on one day, minimize on the second day.. So let on one day, it be only 30, so payment for these =30*2=60$
Payment on second day =180-60=120..

Subtract for first 40@2per piece=40*2=80
So remaining payment for excess pieces = 120-80=40
Number of pieces@2.5=40/2.5=400/25=16

Total =40+16=56

C

Hello,

It is mentioned that he is paid $2 per unit for first 40 units. Should we assume that$2 per unit would be the payment for first 30 units as well?

Rishov
SVP  P
Joined: 03 Jun 2019
Posts: 1853
Location: India
Re: Greg assembles units of a certain product at a factory. Each day he is  [#permalink]

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Bunuel wrote:
Greg assembles units of a certain product at a factory. Each day he is paid $2.00 per unit for the first 40 units that he assembles and$2.50 for each additional unit that he assembles that day. If Greg assembled at least 30 units on each of two days and was paid a total of $180.00 for assembling units on the two days, what is the greatest possible number of units that he could have assembled on one of the two days? A. 48 B. 52 C. 56 D. 60 E. 64 NEW question from GMAT® Official Guide 2019 (PS02102) Given: Greg assembles units of a certain product at a factory. 1. Each day he is paid$2.00 per unit for the first 40 units that he assembles and $2.50 for each additional unit that he assembles that day. 2. Greg assembled at least 30 units on each of two days 3. He was paid a total of$180.00 for assembling units on the two days.

Asked: What is the greatest possible number of units that he could have assembled on one of the two days?

Greg assembled at least 30 units on each of two days
To maximize number of units on a particular day, we have to minimize number of units on other day.
On day 1, he assembles 30 units.
He was paid for 30 units = $60 on day 1 He was paid$180 - $60 =$120 on day 2
$120 =$2 * 40 + \$2.5 x
x = 16
He assembled number of units on day 2 (max) = 40 + 16 = 56

IMO C
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