A company makes car parts and has a certain quota to meet each day. Every worker in the company can turn out either 3 oil filters or 16 spark plugs per hour. At the end of the 6 hour day, the company needs to have made 60 oil filters and 256 spark plugs. How many workers does the company need to employ to meet their quota ?
A company makes car parts and has a certain quota to meet each day. Every worker in the company can turn out either 3 oil filters or 16 spark plugs per hour. At the end of the 6 hour day, the company needs to have made 60 oil filters and 256 spark plugs. How many workers does the company need to employ to meet their quota ?
The correct option is B 6
Work rate of workers = 3 oil filters or 16 spark plugs per hour.
One worker works for 6 hour,
∴ Work = 6×3=18 oil filters or 16×6=96 Spark plugs
If 3 workers work on filters for 6 hour, then they can make = 18∗3=54 oil filters.
It means 4th worker needs 2 more hours to complete 60 oil filters.
On other hand,
2 workers can make 96×2=192 spark plugs
Rest Spark =256−192=64.
It means 3rd worker needs 4 hours to complete 64 spark plugs.
∴ Total workers =3+2+1=6
The 6th worker will work on both filter making and as well as spark plugs.
hence the answer is option B
Work rate of workers = 3 oil filters or 16 spark plugs per hour.
One worker works for 6 hour,
∴ Work = 6×3=18 oil filters or 16×6=96 Spark plugs
If 3 workers work on filters for 6 hour, then they can make = 18∗3=54 oil filters.
It means 4th worker needs 2 more hours to complete 60 oil filters.
On other hand,
2 workers can make 96×2=192 spark plugs
Rest Spark =256−192=64.
It means 3rd worker needs 4 hours to complete 64 spark plugs.
∴ Total workers =3+2+1=6
The 6th worker will work on both filter making and as well as spark plugs.
hence the answer is option B
