There are 2 groups of workers in a manufacturing unit. There are 6 more workers in the first group than the second group. Each worker in the first group makes 4 toys in a minute but each worker in the second group makes only 4 toys in a minute. Both groups make a total of 17280 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 + 6 |
1 u |
Value |
4 |
4 |
Total value |
4 u + 24 |
4 u |
Number of workers in first group = 1 u + 6
Number of workers in second group = 1 u
Total number of toys made
= 4 u + 24 + 4 u
= 8 u + 24
1 h = 60 min
4 h = 4 x 60 = 240 min
Total number of toys made in 1 min
= 17280 ÷ 240
= 72
8 u + 24 = 72
8 u = 72 - 24
8 u = 48
1 u = 48 ÷ 8 = 6
Number of workers in the first group
= 1 u + 6
= 6 + 6
= 12
(b)
Number of workers in the second group
= 1 u
= 6
Answer(s): (a) 12; (b) 6