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 3 toys in a minute. Both groups make a total of 30720 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 + 5 |
1 u |
Value |
8 |
3 |
Total value |
8 u + 40 |
3 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 + 3 u
= 11 u + 40
1 h = 60 min
4 h = 4 x 60 = 240 min
Total number of toys made in 1 min
= 30720 ÷ 240
= 128
11 u + 40 = 128
11 u = 128 - 40
11 u = 88
1 u = 88 ÷ 11 = 8
Number of workers in the first group
= 1 u + 5
= 8 + 5
= 13
(b)
Number of workers in the second group
= 1 u
= 8
Answer(s): (a) 13; (b) 8