There are 2 groups of operators in a manufacturing unit. There are 3 more operators in the first group than the second group. Each operator in the first group makes 8 toys in a minute but each operator in the second group makes only 2 toys in a minute. Both groups make a total of 22320 toys in 3 hours.
- How many operators are there in the first group?
- How many operators are there in the second group?
|
First group |
Second group |
Number |
1 u + 3 |
1 u |
Value |
8 |
2 |
Total value |
8 u + 24 |
2 u |
Number of operators in first group = 1 u + 3
Number of operators in second group = 1 u
Total number of toys made
= 8 u + 24 + 2 u
= 10 u + 24
1 h = 60 min
3 h = 3 x 60 = 180 min
Total number of toys made in 1 min
= 22320 ÷ 180
= 124
10 u + 24 = 124
10 u = 124 - 24
10 u = 100
1 u = 100 ÷ 10 = 10
Number of operators in the first group
= 1 u + 3
= 10 + 3
= 13
(b)
Number of operators in the second group
= 1 u
= 10
Answer(s): (a) 13; (b) 10