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480 persons working 10 hours per day complete one-fourth of a work in 10 days. How many additional persons are to be employed in order to complete the remaining work in 20 days, working 8 hours per day?
- a)400
- b)420
- c)480
- d)500
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
480 persons working 10 hours per day complete one-fourth of a work in ...
Let's break down the given information and solve the problem step by step:
Given:
- 480 persons are working for 10 hours per day.
- They complete one-fourth of the work in 10 days.
Step 1: Calculate the work completed by 480 persons in 10 days.
The work completed by 480 persons in 10 days can be calculated using the formula:
Total Work = Persons × Time
= 480 × 10
= 4800 person-days
Step 2: Calculate the total work required to be completed.
Since they have completed one-fourth of the work in 10 days, the total work required can be calculated as:
Total Work = 4 × Work Completed
= 4 × 4800
= 19,200 person-days
Step 3: Calculate the work done by 480 persons in 20 days.
The work done by 480 persons in 20 days can be calculated using the formula:
Work Done = Persons × Time
= 480 × 20
= 9600 person-days
Step 4: Calculate the remaining work.
The remaining work can be calculated as:
Remaining Work = Total Work - Work Done
= 19,200 - 9600
= 9600 person-days
Step 5: Calculate the additional persons required to complete the remaining work in 20 days.
Let's assume the number of additional persons required is 'x'.
The work done by 'x' additional persons in 20 days can be calculated using the formula:
Work Done = Persons × Time
= x × 20
= 20x person-days
Step 6: Set up an equation to solve for 'x'.
From step 4, we know that the remaining work is 9600 person-days. So, we can set up the equation:
9600 = 20x
Step 7: Solve the equation.
Dividing both sides of the equation by 20, we get:
x = 9600/20
x = 480
Therefore, 480 additional persons need to be employed in order to complete the remaining work in 20 days, working 8 hours per day.
Hence, the correct answer is option B) 480.
Given:
- 480 persons are working for 10 hours per day.
- They complete one-fourth of the work in 10 days.
Step 1: Calculate the work completed by 480 persons in 10 days.
The work completed by 480 persons in 10 days can be calculated using the formula:
Total Work = Persons × Time
= 480 × 10
= 4800 person-days
Step 2: Calculate the total work required to be completed.
Since they have completed one-fourth of the work in 10 days, the total work required can be calculated as:
Total Work = 4 × Work Completed
= 4 × 4800
= 19,200 person-days
Step 3: Calculate the work done by 480 persons in 20 days.
The work done by 480 persons in 20 days can be calculated using the formula:
Work Done = Persons × Time
= 480 × 20
= 9600 person-days
Step 4: Calculate the remaining work.
The remaining work can be calculated as:
Remaining Work = Total Work - Work Done
= 19,200 - 9600
= 9600 person-days
Step 5: Calculate the additional persons required to complete the remaining work in 20 days.
Let's assume the number of additional persons required is 'x'.
The work done by 'x' additional persons in 20 days can be calculated using the formula:
Work Done = Persons × Time
= x × 20
= 20x person-days
Step 6: Set up an equation to solve for 'x'.
From step 4, we know that the remaining work is 9600 person-days. So, we can set up the equation:
9600 = 20x
Step 7: Solve the equation.
Dividing both sides of the equation by 20, we get:
x = 9600/20
x = 480
Therefore, 480 additional persons need to be employed in order to complete the remaining work in 20 days, working 8 hours per day.
Hence, the correct answer is option B) 480.
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480 persons working 10 hours per day complete one-fourth of a work in 10 days. How many additional persons are to be employed in order to complete the remaining work in 20 days, working 8 hours per day?a)400b)420c)480d)500Correct answer is option 'B'. Can you explain this answer?
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480 persons working 10 hours per day complete one-fourth of a work in 10 days. How many additional persons are to be employed in order to complete the remaining work in 20 days, working 8 hours per day?a)400b)420c)480d)500Correct answer is option 'B'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about 480 persons working 10 hours per day complete one-fourth of a work in 10 days. How many additional persons are to be employed in order to complete the remaining work in 20 days, working 8 hours per day?a)400b)420c)480d)500Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 480 persons working 10 hours per day complete one-fourth of a work in 10 days. How many additional persons are to be employed in order to complete the remaining work in 20 days, working 8 hours per day?a)400b)420c)480d)500Correct answer is option 'B'. Can you explain this answer?.
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