There are 2 groups of workers in a factory. There are 5 more workers in the first group than the second group. Each worker in the first group makes 8 toys in a minute but each worker in the second group makes only 4 toys in a minute. Both groups make a total of 17760 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 + 5 |
1 u |
Value |
8 |
4 |
Total value |
8 u + 40 |
4 u |
Number of workers in first group = 1 u + 5
Number of workers in second group = 1 u
Total number of toys made
= 8 u + 40 + 4 u
= 12 u + 40
1 h = 60 min
2 h = 2 x 60 = 120 min
Total number of toys made in 1 min
= 17760 ÷ 120
= 148
12 u + 40 = 148
12 u = 148 - 40
12 u = 108
1 u = 108 ÷ 12 = 9
Number of workers in the first group
= 1 u + 5
= 9 + 5
= 14
(b)
Number of workers in the second group
= 1 u
= 9
Answer(s): (a) 14; (b) 9