There are 2 groups of workers in a manufacturing unit. There are 3 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 4 toys in a minute. Both groups make a total of 30240 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 + 3 |
1 u |
Value |
8 |
4 |
Total value |
8 u + 24 |
4 u |
Number of workers in first group = 1 u + 3
Number of workers in second group = 1 u
Total number of toys made
= 8 u + 24 + 4 u
= 12 u + 24
1 h = 60 min
3 h = 3 x 60 = 180 min
Total number of toys made in 1 min
= 30240 ÷ 180
= 168
12 u + 24 = 168
12 u = 168 - 24
12 u = 144
1 u = 144 ÷ 12 = 12
Number of workers in the first group
= 1 u + 3
= 12 + 3
= 15
(b)
Number of workers in the second group
= 1 u
= 12
Answer(s): (a) 15; (b) 12