Question

In 4days, 6 workers make 8chairs. In 7days, how many chairs will 9 workers make?​

Answer 1

Answer:

• 21 Chairs

Step-by-step explanation:

• Let D denotes the number of days, W denotes the no of Workers and C denotes the no of Chairs
• The increase in chair increases with an increase in no of days as well as no of workers.
• Hence C varies jointly as D and W
• i.e., C α DW
• C = kDW with k = constant of variation
• Given that D = 4 And W = 6, we have C = 8
• 8 = k × 4 × 6

• k = $\frac{8}{24} = \frac{1}{3}$

• C = $\frac{1}{3} DW$

• Hence when D = 7 And W = 9 we get,
• $C = \frac{1}{3}$ × 7 × 9 = 21
• In 7 Days , 9 workers will make 21 chairs