Thirty men can do a piece of work in 24 days In how many days can 20 m...
Given:
- 30 men can do a piece of work in 24 days
To find:
- In how many days can 20 men do the work, given that the time spent per day is increased by one-third of the previous time?
Solution:
To solve this problem, we can use the concept of man-days. Man-days is the product of the number of men and the number of days taken to complete a task.
Step 1: Calculate the man-days required to complete the work.
Given that 30 men can do the work in 24 days, we can calculate the total man-days required to complete the work as follows:
Man-days = Number of men * Number of days
Man-days = 30 * 24
Man-days = 720
Step 2: Calculate the time taken by 20 men.
Let's assume that the time taken by 20 men to complete the work is T days. We are given that the time spent per day is increased by one-third of the previous time. Therefore, the time taken by 20 men will be T + (1/3)T = (4/3)T.
Step 3: Calculate the man-days required by 20 men.
Since the time taken by 20 men is (4/3)T days, we can calculate the man-days required by 20 men as follows:
Man-days = Number of men * Number of days
Man-days = 20 * (4/3)T
Man-days = (80/3)T
Step 4: Equate the man-days required by 20 men to the total man-days.
Since the total man-days required to complete the work is 720, we can equate the man-days required by 20 men to 720 and solve for T as follows:
(80/3)T = 720
T = (720 * 3) / 80
T = 27
Step 5: Calculate the time taken by 20 men.
Therefore, 20 men can complete the work in 27 days.
Answer:
- 20 men can do the work in 27 days, given that the time spent per day is increased by one-third of the previous time.
Thirty men can do a piece of work in 24 days In how many days can 20 m...
27 days