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 6 toys in a minute but each worker in the second group makes only 4 toys in a minute. Both groups make a total of 20160 toys in 4 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 |
6 |
4 |
Total value |
6 u + 24 |
4 u |
Number of workers in first group = 1 u + 4
Number of workers in second group = 1 u
Total number of toys made
= 6 u + 24 + 4 u
= 10 u + 24
1 h = 60 min
4 h = 4 x 60 = 240 min
Total number of toys made in 1 min
= 20160 ÷ 240
= 84
10 u + 24 = 84
10 u = 84 - 24
10 u = 60
1 u = 60 ÷ 10 = 6
Number of workers in the first group
= 1 u + 4
= 6 + 4
= 10
(b)
Number of workers in the second group
= 1 u
= 6
Answer(s): (a) 10; (b) 6