There are 2 groups of workers in a manufacturing unit. There are 5 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 13320 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 |
6 |
3 |
Total value |
6 u + 30 |
3 u |
Number of workers in first group = 1 u + 5
Number of workers in second group = 1 u
Total number of toys made
= 6 u + 30 + 3 u
= 9 u + 30
1 h = 60 min
2 h = 2 x 60 = 120 min
Total number of toys made in 1 min
= 13320 ÷ 120
= 111
9 u + 30 = 111
9 u = 111 - 30
9 u = 81
1 u = 81 ÷ 9 = 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