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One man can complete a piece of work in 97 days. One man starts the work, and after that on each day two or more men join with capacity of work of every men increases by 50%. The work gets completed on the ___th day?
A) 5
B) 6
C) 7
D) 8?
A) 5
B) 6
C) 7
D) 8?
Most Upvoted Answer
One man can complete a piece of work in 97 days. One man starts the wo...
Given:
- One man can complete the work in 97 days.
- Every day, two or more men join the work.
- The capacity of work of every man increases by 50% when they join.
Objective:
To find out on which day the work gets completed.
Assumptions:
- The work is evenly distributed among the men.
- The capacity of work of the men remains constant throughout the day.
Solution:
Let's assume that the capacity of work of one man is x units. Therefore, the work required to be completed is 97x units.
Day 1:
- One man starts the work and completes x units.
- Work remaining = 97x - x = 96x units
Day 2:
- Two men join the work, and their combined capacity is 1.5x units.
- The total capacity on Day 2 is 1x + 1.5x = 2.5x units.
- Work completed on Day 2 = 2.5x units.
- Work remaining = 96x - 2.5x = 93.5x units
Day 3:
- Two men join again, and their combined capacity is 1.5x units.
- The total capacity on Day 3 is 2.5x + 1.5x = 4x units.
- Work completed on Day 3 = 4x units.
- Work remaining = 93.5x - 4x = 89.5x units
Day 4:
- Two men join, and their combined capacity is 1.5x units.
- The total capacity on Day 4 is 4x + 1.5x = 5.5x units.
- Work completed on Day 4 = 5.5x units.
- Work remaining = 89.5x - 5.5x = 84x units
Day 5:
- Two men join, and their combined capacity is 1.5x units.
- The total capacity on Day 5 is 5.5x + 1.5x = 7x units.
- Work completed on Day 5 = 7x units.
- Work remaining = 84x - 7x = 77x units
Day 6:
- Two men join, and their combined capacity is 1.5x units.
- The total capacity on Day 6 is 7x + 1.5x = 8.5x units.
- Work completed on Day 6 = 8.5x units.
- Work remaining = 77x - 8.5x = 68.5x units
Day 7:
- Two men join, and their combined capacity is 1.5x units.
- The total capacity on Day 7 is 8.5x + 1.5x = 10x units.
- Work completed on Day 7 = 10x units.
- Work remaining = 68.5x - 10x = 58.5x units
Day 8:
- Two men join, and their combined capacity is 1
- One man can complete the work in 97 days.
- Every day, two or more men join the work.
- The capacity of work of every man increases by 50% when they join.
Objective:
To find out on which day the work gets completed.
Assumptions:
- The work is evenly distributed among the men.
- The capacity of work of the men remains constant throughout the day.
Solution:
Let's assume that the capacity of work of one man is x units. Therefore, the work required to be completed is 97x units.
Day 1:
- One man starts the work and completes x units.
- Work remaining = 97x - x = 96x units
Day 2:
- Two men join the work, and their combined capacity is 1.5x units.
- The total capacity on Day 2 is 1x + 1.5x = 2.5x units.
- Work completed on Day 2 = 2.5x units.
- Work remaining = 96x - 2.5x = 93.5x units
Day 3:
- Two men join again, and their combined capacity is 1.5x units.
- The total capacity on Day 3 is 2.5x + 1.5x = 4x units.
- Work completed on Day 3 = 4x units.
- Work remaining = 93.5x - 4x = 89.5x units
Day 4:
- Two men join, and their combined capacity is 1.5x units.
- The total capacity on Day 4 is 4x + 1.5x = 5.5x units.
- Work completed on Day 4 = 5.5x units.
- Work remaining = 89.5x - 5.5x = 84x units
Day 5:
- Two men join, and their combined capacity is 1.5x units.
- The total capacity on Day 5 is 5.5x + 1.5x = 7x units.
- Work completed on Day 5 = 7x units.
- Work remaining = 84x - 7x = 77x units
Day 6:
- Two men join, and their combined capacity is 1.5x units.
- The total capacity on Day 6 is 7x + 1.5x = 8.5x units.
- Work completed on Day 6 = 8.5x units.
- Work remaining = 77x - 8.5x = 68.5x units
Day 7:
- Two men join, and their combined capacity is 1.5x units.
- The total capacity on Day 7 is 8.5x + 1.5x = 10x units.
- Work completed on Day 7 = 10x units.
- Work remaining = 68.5x - 10x = 58.5x units
Day 8:
- Two men join, and their combined capacity is 1
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One man can complete a piece of work in 97 days. One man starts the work, and after that on each day two or more men join with capacity of work of every men increases by 50%. The work gets completed on the ___th day?A) 5B) 6C) 7D) 8?
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One man can complete a piece of work in 97 days. One man starts the work, and after that on each day two or more men join with capacity of work of every men increases by 50%. The work gets completed on the ___th day?A) 5B) 6C) 7D) 8? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about One man can complete a piece of work in 97 days. One man starts the work, and after that on each day two or more men join with capacity of work of every men increases by 50%. The work gets completed on the ___th day?A) 5B) 6C) 7D) 8? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One man can complete a piece of work in 97 days. One man starts the work, and after that on each day two or more men join with capacity of work of every men increases by 50%. The work gets completed on the ___th day?A) 5B) 6C) 7D) 8?.
One man can complete a piece of work in 97 days. One man starts the work, and after that on each day two or more men join with capacity of work of every men increases by 50%. The work gets completed on the ___th day?A) 5B) 6C) 7D) 8? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about One man can complete a piece of work in 97 days. One man starts the work, and after that on each day two or more men join with capacity of work of every men increases by 50%. The work gets completed on the ___th day?A) 5B) 6C) 7D) 8? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One man can complete a piece of work in 97 days. One man starts the work, and after that on each day two or more men join with capacity of work of every men increases by 50%. The work gets completed on the ___th day?A) 5B) 6C) 7D) 8?.
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