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Machine A can make 350 widgets in 1 hour, and machine B can make 250 w

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Machine A can make 350 widgets in 1 hour, and machine B can make 250 w [#permalink]

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New post 20 Mar 2015, 06:16
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Machine A can make 350 widgets in 1 hour, and machine B can make 250 widgets in 1 hour. If both machines work together, how much time will it take them to make a total of 1000 widgets?

A. 1 hour and 20 minutes
B. 1 hour and 24 minutes
C. 1 hour and 30 minutes
D. 1 hour and 36 minutes
E. 1 hour and 40 minutes

Kudos for a correct solution.
[Reveal] Spoiler: OA

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Collection of Questions:
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Machine A can make 350 widgets in 1 hour, and machine B can make 250 w [#permalink]

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New post 20 Mar 2015, 09:58
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Bunuel wrote:
Machine A can make 350 widgets in 1 hour, and machine B can make 250 widgets in 1 hour. If both machines work together, how much time will it take them to make a total of 1000 widgets?

A. 1 hour and 20 minutes
B. 1 hour and 24 minutes
C. 1 hour and 30 minutes
D. 1 hour and 36 minutes
E. 1 hour and 40 minutes

Kudos for a correct solution.


If both machines are working together then they are producing 600 widgets per hour.

Therefore\(\frac{600}{1}=\frac{1000}{x}\) x=5/3= 1 hour and 40 min

Answer is E
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Re: Machine A can make 350 widgets in 1 hour, and machine B can make 250 w [#permalink]

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New post 20 Mar 2015, 10:57
ans is e

rate of both =600

to make 1000=1000/600
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Re: Machine A can make 350 widgets in 1 hour, and machine B can make 250 w [#permalink]

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New post 20 Mar 2015, 20:12
Bunuel wrote:
Machine A can make 350 widgets in 1 hour, and machine B can make 250 widgets in 1 hour. If both machines work together, how much time will it take them to make a total of 1000 widgets?

A. 1 hour and 20 minutes
B. 1 hour and 24 minutes
C. 1 hour and 30 minutes
D. 1 hour and 36 minutes
E. 1 hour and 40 minutes

Kudos for a correct solution.


(350+250)t=1000
600t=1000
t=5/3
t=1 hour and 40 minutes

Answer: E
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Re: Machine A can make 350 widgets in 1 hour, and machine B can make 250 w [#permalink]

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New post 22 Mar 2015, 23:09
Rate of Machine A = \(\frac{350}{60}\) widgets per minute

Rate of Machine B = \(\frac{250}{60}\) widgets per minute

Combined rate = 10 widgets per minute

Time required for 1000 widgets \(= \frac{1000}{10} = 100\) minutes

Answer = E
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Re: Machine A can make 350 widgets in 1 hour, and machine B can make 250 w [#permalink]

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New post 23 Mar 2015, 04:48
Expert's post
1
This post was
BOOKMARKED
Bunuel wrote:
Machine A can make 350 widgets in 1 hour, and machine B can make 250 widgets in 1 hour. If both machines work together, how much time will it take them to make a total of 1000 widgets?

A. 1 hour and 20 minutes
B. 1 hour and 24 minutes
C. 1 hour and 30 minutes
D. 1 hour and 36 minutes
E. 1 hour and 40 minutes

Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:
Attachment:
1000_widgets.png
1000_widgets.png [ 23.87 KiB | Viewed 5472 times ]

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

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Re: Machine A can make 350 widgets in 1 hour, and machine B can make 250 w [#permalink]

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New post 01 Apr 2015, 06:32
350w per hour + 250w per hour = 600w per hour
600w per hour = 100w per 10 minutes
1000w - 600w = 400w

100w = 10m
400w = 40m

1h + 40m = 1 hour, 40 minutes.
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Re: Machine A can make 350 widgets in 1 hour, and machine B can make 250 w [#permalink]

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New post 11 Jul 2015, 00:11
Bunuel wrote:
Machine A can make 350 widgets in 1 hour, and machine B can make 250 widgets in 1 hour. If both machines work together, how much time will it take them to make a total of 1000 widgets?

A. 1 hour and 20 minutes
B. 1 hour and 24 minutes
C. 1 hour and 30 minutes
D. 1 hour and 36 minutes
E. 1 hour and 40 minutes

Kudos for a correct solution.


A=350/60 per minute
=70/12

B=250/60 per minute
=50/12

A & B rate of both machine
70/12+50/12
=120/12
=10

So, A & B both per minute rate 10 units
so, 1000/10
=100 minutes
So, 1 hours 40 minutes
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Re: Machine A can make 350 widgets in 1 hour, and machine B can make 250 w [#permalink]

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New post 13 Mar 2017, 17:36
Total work needed to be done = 1,000 widgets
A can produce = 350 widgets in 1 hr
B can produce = 250 widgets in 1 hr

Together, how long to produce 1,000 widgets ? Shortcut calculation 1000/(250+350) = 10/6 Hrs
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Re: Machine A can make 350 widgets in 1 hour, and machine B can make 250 w [#permalink]

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New post 13 Mar 2017, 20:16
Machine A = 350/60 widgets per minute

Rate of Machine B = 250/60 widgets per minute

Combined rate = 10 widgets per minute

Time required for 1000 widgets =1000/10=100=100010=100 minutes

Answer = E
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Re: Machine A can make 350 widgets in 1 hour, and machine B can make 250 w   [#permalink] 13 Mar 2017, 20:16
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Machine A can make 350 widgets in 1 hour, and machine B can make 250 w

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