There are 2 groups of workers in a manufacturing unit. There are 4 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 27000 toys in 3 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 + 4 |
1 u |
Value |
6 |
3 |
Total value |
6 u + 24 |
3 u |
Number of workers in first group = 1 u + 4
Number of workers in second group = 1 u
Total number of toys made
= 6 u + 24 + 3 u
= 9 u + 24
1 h = 60 min
3 h = 3 x 60 = 180 min
Total number of toys made in 1 min
= 27000 ÷ 180
= 150
9 u + 24 = 150
9 u = 150 - 24
9 u = 126
1 u = 126 ÷ 9 = 14
Number of workers in the first group
= 1 u + 4
= 14 + 4
= 18
(b)
Number of workers in the second group
= 1 u
= 14
Answer(s): (a) 18; (b) 14