50 machines work in parallel and no-stop. Each machine can produce

Question

50 machines work in parallel and no-stop. Each machine can produce a unit in  h  hours. Are the machines capable of producing 500,000 units in less than  m  months?

(1)  1<h<2

(2)  6<m<13

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Krunaal · Answer

Simplifying the Qs stem, we need to find whether  \frac{50*24*30*m}{h} ≥ 500,000  ?

Statement 1

We don't know what's m.  INSUFFICIENT

Statement 2

We don't know what's h.  INSUFFICIENT

Together

When m = 13, h is 2 we get 234,000
When m = 13, h is 1 we get 468,000

SUFFICIENT

Answer C.

Matthyrou · Answer

Hey, i think that you did a mistake because it's when m=13 and H=1 that you have 468K, and the longer the time to produce, the lesser units you produce, so actually if H=2 you'll produce 234K in 13 months. No matter what, you'll need more than m to produce 500K. so a)+b), sufficent, answer c

Krunaal · Answer

You're right, thanks. Made a calc. mistake. Edited now.

Abdelaali91 · Answer

rate 
 work 
 time 
 
  1 machine 
 1/h 
 1 
 h 
 
  50 machines 
 50/h

We need to know if : t (time taken by 50 machines to produce 500 000 units) <m ie 500 000h/50<m meaning is 10 000h<m ?

statement 1 alone : 1<h<2 insufficient as we don't know m

statement 2 alone : 6<m<13 insufficient as we don't know h

statement 1 and 2: since 1<h<2 we can say 10 000 <10 000h < 20 000

10 000 hours converted to months is 10 000/(24*31) = 13,4 (since we are comparing the minimum value of 10 000h we need it to be highest as possible, 31 is clearly bigger than the average month days)

So m<13<13,4<10 000h

Answer C

prantorboni · Answer

50 machines work in parallel and no-stop. Each machine can produce a unit in h hours. Are the machines capable of producing 500,000 units in less than m months?

To answer the question, we need to know how many hours each machine takes to produce a unit. How many hours a machine work in a day which is stated as parallel and no-stop meaning 24 hours a day. How many months these machines work together.

(1) 1< h <2
Statement (1), only answer the question how many hours each machine takes to produce a unit. So, Insufficient.

(2) 6< m <13
Statement (2), only answer the question how many months these machines work. So, Insufficient.

Now, if we accumulate both the statement, we have all the information to answer the question.

For example, if it takes 2 hours to produce a unit, so, in 1 day it will produce 12 units. 50 machine will produce 50x12= 600 units a day and 600x30=18000 a month. So, 18000x13= 234000 in entire time frame.

We can use alternative conditions to calculate in the same process. But, every time it produce an accurate answer.

So, Answer: C.

Reetisha · Answer

Can you explain how you got this?
 \frac{50*24*30*m}{h} ≥ 500,000  ?

Bunuel · Answer

50 machines work in parallel and no-stop. Each machine can produce a unit in  h  hours. Are the machines capable of producing 500,000 units in less than  m  months?
(1)  1<h<2 
(2)  6<m<13

50 machines make 50 units every h hours, so the rate is 50/h units per hour.

In m months there are about 24 * 30 * m hours, so total units = (50/h) * (24 * 30 * m) = 50 * 24 * 30 * m/h.

To be able to make 500,000 units, that total must be at least 500,000, so 50 * 24 * 30 * m/h >= 500,000.

50 machines work in parallel and no-stop. Each machine can produce

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GMAT Data Sufficiency (DS) Questions

50 machines work in parallel and no-stop. Each machine can produce

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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