There are 2 groups of workers in a factory. There are 8 more workers in the first group than the second group. Each worker in the first group makes 6 toys in a minute but each worker in the second group makes only 3 toys in a minute. Both groups make a total of 14400 toys in 2 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 |
6 |
3 |
Total value |
6 u + 48 |
3 u |
Number of workers in first group = 1 u + 8
Number of workers in second group = 1 u
Total number of toys made
= 6 u + 48 + 3 u
= 9 u + 48
1 h = 60 min
2 h = 2 x 60 = 120 min
Total number of toys made in 1 min
= 14400 ÷ 120
= 120
9 u + 48 = 120
9 u = 120 - 48
9 u = 72
1 u = 72 ÷ 9 = 8
Number of workers in the first group
= 1 u + 8
= 8 + 8
= 16
(b)
Number of workers in the second group
= 1 u
= 8
Answer(s): (a) 16; (b) 8