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 5 toys in a minute but each operator in the second group makes only 3 toys in a minute. Both groups make a total of 7440 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 + 3 |
1 u |
Value |
5 |
3 |
Total value |
5 u + 15 |
3 u |
Number of operators in first group = 1 u + 3
Number of operators in second group = 1 u
Total number of toys made
= 5 u + 15 + 3 u
= 8 u + 15
1 h = 60 min
4 h = 4 x 60 = 240 min
Total number of toys made in 1 min
= 7440 ÷ 240
= 31
8 u + 15 = 31
8 u = 31 - 15
8 u = 16
1 u = 16 ÷ 8 = 2
Number of operators in the first group
= 1 u + 3
= 2 + 3
= 5
(b)
Number of operators in the second group
= 1 u
= 2
Answer(s): (a) 5; (b) 2