There are 2 groups of workers in a plant. There are 4 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 3 toys in a minute. Both groups make a total of 25560 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 + 4 |
1 u |
Value |
8 |
3 |
Total value |
8 u + 32 |
3 u |
Number of workers in first group = 1 u + 4
Number of workers in second group = 1 u
Total number of toys made
= 8 u + 32 + 3 u
= 11 u + 32
1 h = 60 min
3 h = 3 x 60 = 180 min
Total number of toys made in 1 min
= 25560 ÷ 180
= 142
11 u + 32 = 142
11 u = 142 - 32
11 u = 110
1 u = 110 ÷ 11 = 10
Number of workers in the first group
= 1 u + 4
= 10 + 4
= 14
(b)
Number of workers in the second group
= 1 u
= 10
Answer(s): (a) 14; (b) 10