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 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 22500 toys in 5 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 |
5 |
2 |
Total value |
5 u + 40 |
2 u |
Number of operators in first group = 1 u + 8
Number of operators in second group = 1 u
Total number of toys made
= 5 u + 40 + 2 u
= 7 u + 40
1 h = 60 min
5 h = 5 x 60 = 300 min
Total number of toys made in 1 min
= 22500 ÷ 300
= 75
7 u + 40 = 75
7 u = 75 - 40
7 u = 35
1 u = 35 ÷ 7 = 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