In a factory there are 100 skilled 150 semi skilled and 250 unskilled workers. It has been observed that on an average a unit length of particular fabric is woven by skilled worker in 2 hrs, by a semi skilled in 3 hrs and unskilled in 4 hrs. After a training of 2 years the semi skilled workers are expected to become skilled and unskilled to become semi skilled. How much less time will be required after 2 hrs of training for weaving the unit length of fabric by an average worker?
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 2 hours
by a semiskilled worker in 3 hours
by an unskilled worker in 4 hours
To Find : How much less time will be required after 2 hrs of training for weaving the unit length of fabric by an average worker
Solution:
100 skilled,
250 semi-skilled &
150 unskilled workers.
a unit is produced by a skilled worker in 3 hours
=> 100/2 units in 1 hr by 100 skilled, worker
semiskilled worker in 4 hours
=> 150/3 units in 1 hr by 150 semi-skilled
unskilled worker in 5 hours
=> 250/4 units in 1 hr by 250 unskilled workers
Total units in 1 hr = 100/2 + 150/3 + 250/4
= 50 +50 + 125/2
= (325)/2
= 325/2 units in 1 hr by (100 + 150 +250 = 500 workers)
= 325/1000 units by 1 worker in 1 hr
=> Time required for 1 unit on average by 1 worker = 1000/325 hr
= 3.077 hr
After Training
100+150 =250 skilled,
250 semi-skilled
250/2 units in 1 hr by 250 skilled, worker
=> 250/3 units in 1 hr by 250 semi-skilled
250/3 +250/2
= (1250)/6
= 1250/3000 units by 1 worker in 1 hr
Time required = 3000/1250 hr = 2.4 hr
Time saved = 3.077-2.4
= 0.677 hr
less time required after 2 years of training for producing a unit by an average worker = 0.677 hr
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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 2 hours
by a semiskilled worker in 3 hours
by an unskilled worker in 4 hours
To Find :
How much less time will be required after 2 hrs of training for weaving the unit length of fabric by an average worker
Solution:
100 skilled,
250 semi-skilled &
150 unskilled workers.
a unit is produced by a skilled worker in 3 hours
=> 100/2 units in 1 hr by 100 skilled, worker
semiskilled worker in 4 hours
=> 150/3 units in 1 hr by 150 semi-skilled
unskilled worker in 5 hours
=> 250/4 units in 1 hr by 250 unskilled workers
Total units in 1 hr = 100/2 + 150/3 + 250/4
= 50 +50 + 125/2
= (325)/2
= 325/2 units in 1 hr by (100 + 150 +250 = 500 workers)
= 325/1000 units by 1 worker in 1 hr
=> Time required for 1 unit on average by 1 worker = 1000/325 hr
= 3.077 hr
After Training
100+150 =250 skilled,
250 semi-skilled
250/2 units in 1 hr by 250 skilled, worker
=> 250/3 units in 1 hr by 250 semi-skilled
250/3 +250/2
= (1250)/6
= 1250/3000 units by 1 worker in 1 hr
Time required = 3000/1250 hr = 2.4 hr
Time saved = 3.077-2.4
= 0.677 hr
less time required after 2 years of training for producing a unit by an average worker = 0.677 hr