There are 2 groups of workers in a plant. There are 3 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 2 toys in a minute. Both groups make a total of 17760 toys in 4 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 + 3 |
1 u |
Value |
6 |
2 |
Total value |
6 u + 18 |
2 u |
Number of workers in first group = 1 u + 3
Number of workers in second group = 1 u
Total number of toys made
= 6 u + 18 + 2 u
= 8 u + 18
1 h = 60 min
4 h = 4 x 60 = 240 min
Total number of toys made in 1 min
= 17760 ÷ 240
= 74
8 u + 18 = 74
8 u = 74 - 18
8 u = 56
1 u = 56 ÷ 8 = 7
Number of workers in the first group
= 1 u + 3
= 7 + 3
= 10
(b)
Number of workers in the second group
= 1 u
= 7
Answer(s): (a) 10; (b) 7