10 person can finish a piece of work in 15 days . in how many day the same work can be done by 25 persons.
Answers
10 person can finish a piece of work in 15 days .
So 25 persons will complete in 25 x 15 / 10
= 75 / 2
or it will be 37 1/2 days
Answer:
The number of days required by 25 persons to complete the same piece of work = 6 days
Step-by-step explanation:
Given that 10 persons can finish a piece or work in 15 days
⇒ 10 person's work per day = 1/15
⇒ 1 person's work per day = 1/15×10 = 1/150
We need to find the number of days taken by 25 persons to complete the same piece of work
⇒ 25 person's work per day = 25/150
⇒ 25 person can finish the same piece of work in 150/25 = 6 days
Hence, The number of days required by 25 persons to complete the same piece of work = 6 days