There are 2 groups of workers in a manufacturing unit. There are 4 more workers in the first group than the second group. Each worker in the first group makes 5 toys in a minute but each worker in the second group makes only 3 toys in a minute. Both groups make a total of 18000 toys in 5 hours.
- How many workers are there in the first group?
- How many workers are there in the second group?
|
First group |
Second group |
Number |
1 u + 4 |
1 u |
Value |
5 |
3 |
Total value |
5 u + 20 |
3 u |
Number of workers in first group = 1 u + 4
Number of workers in second group = 1 u
Total number of toys made
= 5 u + 20 + 3 u
= 8 u + 20
1 h = 60 min
5 h = 5 x 60 = 300 min
Total number of toys made in 1 min
= 18000 ÷ 300
= 60
8 u + 20 = 60
8 u = 60 - 20
8 u = 40
1 u = 40 ÷ 8 = 5
Number of workers in the first group
= 1 u + 4
= 5 + 4
= 9
(b)
Number of workers in the second group
= 1 u
= 5
Answer(s): (a) 9; (b) 5