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6 typists working 5 hours a day can type the manuscript of a book in 16 days. How many days will 4 typists take to do the same job each working 6 hours a day?
Most Upvoted Answer
6 typists working 5 hours a day can type the manuscript of a book in 1...
Given:
- Number of typists = 6
- Hours worked per day = 5
- Time taken to type the manuscript = 16 days
To find:
- Number of days it will take for 4 typists working 6 hours a day to type the same manuscript
Assumptions:
- The typing speed of each typist is the same.
- The number of hours worked per day is directly proportional to the number of typists.
Explanation:
To solve this problem, we can use the concept of "man-days" or "work-days". A man-day represents the amount of work done by one person in one day.
Step 1: Calculate the total man-days required to complete the manuscript.
Since 6 typists working 5 hours a day can complete the manuscript in 16 days, the total man-days required can be calculated as:
Total man-days = Number of typists * Hours worked per day * Number of days taken
= 6 * 5 * 16
= 480 man-days
Step 2: Calculate the number of man-days required by 4 typists working 6 hours a day.
Let's assume the number of days required by 4 typists working 6 hours a day is "x" days.
Using the formula for total man-days:
Total man-days = Number of typists * Hours worked per day * Number of days taken
480 = 4 * 6 * x
480 = 24x
x = 480 / 24
x = 20
Therefore, it will take 4 typists working 6 hours a day a total of 20 days to complete the manuscript.
- Number of typists = 6
- Hours worked per day = 5
- Time taken to type the manuscript = 16 days
To find:
- Number of days it will take for 4 typists working 6 hours a day to type the same manuscript
Assumptions:
- The typing speed of each typist is the same.
- The number of hours worked per day is directly proportional to the number of typists.
Explanation:
To solve this problem, we can use the concept of "man-days" or "work-days". A man-day represents the amount of work done by one person in one day.
Step 1: Calculate the total man-days required to complete the manuscript.
Since 6 typists working 5 hours a day can complete the manuscript in 16 days, the total man-days required can be calculated as:
Total man-days = Number of typists * Hours worked per day * Number of days taken
= 6 * 5 * 16
= 480 man-days
Step 2: Calculate the number of man-days required by 4 typists working 6 hours a day.
Let's assume the number of days required by 4 typists working 6 hours a day is "x" days.
Using the formula for total man-days:
Total man-days = Number of typists * Hours worked per day * Number of days taken
480 = 4 * 6 * x
480 = 24x
x = 480 / 24
x = 20
Therefore, it will take 4 typists working 6 hours a day a total of 20 days to complete the manuscript.
Community Answer
6 typists working 5 hours a day can type the manuscript of a book in 1...
4 typyist working 6 hours a day can finish the job in 20 days
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6 typists working 5 hours a day can type the manuscript of a book in 16 days. How many days will 4 typists take to do the same job each working 6 hours a day?
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6 typists working 5 hours a day can type the manuscript of a book in 16 days. How many days will 4 typists take to do the same job each working 6 hours a day? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 6 typists working 5 hours a day can type the manuscript of a book in 16 days. How many days will 4 typists take to do the same job each working 6 hours a day? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 6 typists working 5 hours a day can type the manuscript of a book in 16 days. How many days will 4 typists take to do the same job each working 6 hours a day?.
6 typists working 5 hours a day can type the manuscript of a book in 16 days. How many days will 4 typists take to do the same job each working 6 hours a day? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 6 typists working 5 hours a day can type the manuscript of a book in 16 days. How many days will 4 typists take to do the same job each working 6 hours a day? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 6 typists working 5 hours a day can type the manuscript of a book in 16 days. How many days will 4 typists take to do the same job each working 6 hours a day?.
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