In a factory, there are 100 skilled, 250 semi-skilled & 150 unskilled workers. It is observed
that on an average a unit is produced by a skilled worker in 3 hours, by a semiskilled worker
in 4 hours and by an unskilled worker in 5 hours. After a training of 3 years, the semi-skilled
workers became skilled & the unskilled workers became semi-skilled. How much less time
will be required after 3 years of training for producing a unit by an average worker? find answer in numerical
Answers
Given : In a factory, there are 100 skilled, 250 semi-skilled & 150 unskilled workers
on an average a unit is produced by a skilled worker in 3 hours
by a semiskilled worker in 4 hours
by an unskilled worker in 5 hours
To Find : How much less time will be required after 3 years of training for producing a unit by an average worke
Solution:
100 skilled,
250 semi-skilled &
150 unskilled workers.
a unit is produced by a skilled worker in 3 hours
=> 100/3 units in 1 hr by 100 skilled, worker
semiskilled worker in 4 hours
=> 250/4 units in 1 hr by 250 semi-skilled
unskilled worker in 5 hours
=> 150/5 units in 1 hr by 150 unskilled workers
Total units in 1 hr = 100/3 + 250/4 + 150/5
= 100/3 + 125/2 + 30
= (200 + 375 + 180)/6
= 755/6 units in 1 hr by (100 + 250 + 150 = 500 workers)
= 755/3000 units by 1 worker in 1 hr
=> Time required for 1 unit on average by 1 worker = 3000/755 hr
= 3.97 hr
After Training
100+250 = 350 skilled,
150 semi-skilled
350/3 units in 1 hr by 350 skilled, worker
=> 150/4 units in 1 hr by 150 semi-skilled
350/3 + 150/4
= (700 + 225)/6
= 925/6
= 925/3000 units by 1 worker in 1 hr
Time required = 3000/925 hr = 3.24 hr
Time saved = 3000/755 - 3000/925
= 600/151 - 600/185
= 600 (34)/(151 * 185)
= 0.73 hr
less time required after 3 years of training for producing a unit by an average worker = 0.73 hr
Learn More:
Four men can do a piece of work in 6 days, while 3 women can ...
https://brainly.in/question/23294046
A group of men decided to do a job in 5 days, but 10 men kept ...
https://brainly.in/question/23306499
20 men can complete a piece of work in 15 days. One man starts the ...
https://brainly.in/question/9066294