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 2 toys in a minute. Both groups make a total of 18960 toys in 4 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 |
2 |
Total value |
5 u + 30 |
2 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 + 2 u
= 7 u + 30
1 h = 60 min
4 h = 4 x 60 = 240 min
Total number of toys made in 1 min
= 18960 ÷ 240
= 79
7 u + 30 = 79
7 u = 79 - 30
7 u = 49
1 u = 49 ÷ 7 = 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