There are 2 groups of workers in a manufacturing unit. There are 8 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 21600 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 + 8 |
1 u |
Value |
5 |
3 |
Total value |
5 u + 40 |
3 u |
Number of workers in first group = 1 u + 8
Number of workers in second group = 1 u
Total number of toys made
= 5 u + 40 + 3 u
= 8 u + 40
1 h = 60 min
5 h = 5 x 60 = 300 min
Total number of toys made in 1 min
= 21600 ÷ 300
= 72
8 u + 40 = 72
8 u = 72 - 40
8 u = 32
1 u = 32 ÷ 8 = 4
Number of workers in the first group
= 1 u + 8
= 4 + 8
= 12
(b)
Number of workers in the second group
= 1 u
= 4
Answer(s): (a) 12; (b) 4