There are 2 groups of workers in a manufacturing unit. There are 5 more workers in the first group than the second group. Each worker in the first group makes 8 toys in a minute but each worker in the second group makes only 2 toys in a minute. Both groups make a total of 30600 toys in 3 hours.
- How many workers are there in the first group?
- How many workers are there in the second group?
|
First group |
Second group |
Number |
1 u + 5 |
1 u |
Value |
8 |
2 |
Total value |
8 u + 40 |
2 u |
Number of workers in first group = 1 u + 5
Number of workers in second group = 1 u
Total number of toys made
= 8 u + 40 + 2 u
= 10 u + 40
1 h = 60 min
3 h = 3 x 60 = 180 min
Total number of toys made in 1 min
= 30600 ÷ 180
= 170
10 u + 40 = 170
10 u = 170 - 40
10 u = 130
1 u = 130 ÷ 10 = 13
Number of workers in the first group
= 1 u + 5
= 13 + 5
= 18
(b)
Number of workers in the second group
= 1 u
= 13
Answer(s): (a) 18; (b) 13