Answer:
3 days would take the 15 workers to finish the same task
Step-by-step explanation:
- In the questions of doing a job, the number of workers and the time are in an inverse proportional because if the number of workers is increased, then the time of finishing the job will decrease and vice versa
- The relation between the number of workers and the time to finish any job is N × T = K, where, N is the number of workers, T is the time to finish the job, and K is constant
Let us use this relation to solve the question
∵ 5 workers can complete a certain task in 9 days
∴ N = 5 workers and T = 9 days
→ By using the relation above
∴ 5 × 9 = k ⇒ (1)
∵ If there are 15 workers will make the same task
∵ They can finish it in x days
∴ N = 15 workers and T = x days
→ By using the relation above
∴ 15 × x = k ⇒ (2)
∵ k is the same task, then equate the left sides of (1) and (2)
∴ 15 × x = 5 × 9
∴ 15x = 45
→ Divide both sides by 15 to find x
∴ x = 3 days
∴ 3 days would take the 15 workers to finish the same task
