There are 2 groups of operators in a manufacturing unit. There are 8 more operators in the first group than the second group. Each operator in the first group makes 6 toys in a minute but each operator in the second group makes only 4 toys in a minute. Both groups make a total of 17640 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 + 8 |
1 u |
Value |
6 |
4 |
Total value |
6 u + 48 |
4 u |
Number of operators in first group = 1 u + 8
Number of operators in second group = 1 u
Total number of toys made
= 6 u + 48 + 4 u
= 10 u + 48
1 h = 60 min
3 h = 3 x 60 = 180 min
Total number of toys made in 1 min
= 17640 ÷ 180
= 98
10 u + 48 = 98
10 u = 98 - 48
10 u = 50
1 u = 50 ÷ 10 = 5
Number of operators in the first group
= 1 u + 8
= 5 + 8
= 13
(b)
Number of operators in the second group
= 1 u
= 5
Answer(s): (a) 13; (b) 5