Factory workers

Question

In a factory, each day, every worker produces the same number of units of a product per hour in a day. The factory was to produce 24000 units in 5 days and 300 workers were engaged to complete the work in 5 days. However, at the end of the 1st day, they learnt that they have to produce 32000 units within that stipulated time period of 5 days. How many additional worked must be engaged to complete the work accordingly.

Sorry but don't have answer options on this one. Also don't have an OA. Would appreciate if the
answer can be explained step by step in detail...thanks

MBA.Aspirant · Answer

knight247 wrote:In a factory, each day, every worker produces the same number of units of a product per hour in a day. The factory was to produce 24000 units in 5 days and 300 workers were engaged to complete the work in 5 days. However, at the end of the 1st day, they learnt that they have to produce 32000 units within that stipulated time period of 5 days. How many additional worked must be engaged to complete the work accordingly.

300 workers in 5 days produces 24000 units.
Hence, 300 workers in 1 day produces (24000/5) = 4800 units.
And, each worker per day produces (24000/300)/5 = 16 units

Now in (5 - 1) = 4 days we need to produce (32000 - 4800) = 27200 units

Number of workers required = (27200/4)/16 = 425

Therefore, additional number of workers required = (425 - 300) = 125

Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/

beatthegmat.garry · Answer

One worker/per day produces : (24000/300)/5=16 units

Since there was an addition of extra samples at the end of day 1, day 1 is considered spent.

Hence in 4 days each worker can produce 64 units.

No of workers needed for extra samples= Extra samples/no. of samples produced by each worker in 4 days.
=8000/64
=125.

Hope this helps

!

Anurag@Gurome · Answer

knight247 wrote:In a factory, each day, every worker produces the same number of units of a product per hour in a day. The factory was to produce 24000 units in 5 days and 300 workers were engaged to complete the work in 5 days. However, at the end of the 1st day, they learnt that they have to produce 32000 units within that stipulated time period of 5 days. How many additional worked must be engaged to complete the work accordingly.

300 workers in 5 days produces 24000 units.
Hence, 300 workers in 1 day produces (24000/5) = 4800 units.
And, each worker per day produces (24000/300)/5 = 16 units

Now in (5 - 1) = 4 days we need to produce (32000 - 4800) = 27200 units

Number of workers required = (27200/4)/16 = 425

Therefore, additional number of workers required = (425 - 300) = 125

Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/

amit2k9 · Answer

work done per day = 24000/5=4800 thus total work remaining for 4 days = 32000-24000+ (24000-4800) = 27200 hence number of people = 272*5*300/240*4 = 425. hence 125.

Choose how you want to prepare

Get Ready for GMAT Test Day Faster with Live Online Classes

Target Test Prep EA OnDemand

Target Test Prep GMAT OnDemand

Factory workers

GMAT/MBA Expert

Chicago Booth

GMAT Course Reviews

Admissions Consulting Reviews

FREE GMAT PREP RESOURCES

GMAT PREP DEAL TRACKER