There are 2 groups of operators in a manufacturing unit. There are 6 more operators in the first group than the second group. Each operator in the first group makes 5 toys in a minute but each operator in the second group makes only 4 toys in a minute. Both groups make a total of 11160 toys in 2 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 + 6 |
1 u |
Value |
5 |
4 |
Total value |
5 u + 30 |
4 u |
Number of operators in first group = 1 u + 6
Number of operators in second group = 1 u
Total number of toys made
= 5 u + 30 + 4 u
= 9 u + 30
1 h = 60 min
2 h = 2 x 60 = 120 min
Total number of toys made in 1 min
= 11160 ÷ 120
= 93
9 u + 30 = 93
9 u = 93 - 30
9 u = 63
1 u = 63 ÷ 9 = 7
Number of operators in the first group
= 1 u + 6
= 7 + 6
= 13
(b)
Number of operators in the second group
= 1 u
= 7
Answer(s): (a) 13; (b) 7