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A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?
- a)Rs. 380
- b)Rs. 600
- c)Rs. 420
- d)Rs. 400
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A can do a particular work in 6 days . B can do the same work in 8 day...
C's 1 day's work =
1/3−(1/6+1/8)=(1/3−7/24)=1/24
A:B:C=1/6:1/8:1/24=4:3:1
C′sShare=1/8∗3200=400
This question is part of UPSC exam. View all Quant courses
Most Upvoted Answer
A can do a particular work in 6 days . B can do the same work in 8 day...
Combined work rate = 1/6 + 1/8
= 4/24 + 3/24 (common denominator)
= 7/24
work done by a and b in 3 days
= 3 × 7/24
= 21/24
= 7/8
payment to a and b
= 3200 × 7/8
= ₹2800
so the rest would be of C
=3200 - 2800
= ₹400
= 4/24 + 3/24 (common denominator)
= 7/24
work done by a and b in 3 days
= 3 × 7/24
= 21/24
= 7/8
payment to a and b
= 3200 × 7/8
= ₹2800
so the rest would be of C
=3200 - 2800
= ₹400
Community Answer
A can do a particular work in 6 days . B can do the same work in 8 day...
Given data:
- First rabbit covers 8% of the distance between the two rabbit holes in 3 hours
- Second rabbit covered 7/120 of the distance in 2 hours 30 minutes
- First rabbit travelled 800 feet to the meeting points
To find: Speed of the second rabbit in feet/hour
Calculation:
Let the distance between the two rabbit holes be D feet
Let the speed of the first rabbit be x feet/hour
Let the speed of the second rabbit be y feet/hour
- According to the question, the first rabbit covered 8% of the distance in 3 hours
- Therefore, the speed of the first rabbit (x) can be calculated as:
- (8/100)D = x * 3
- x = 0.08D/3
- x = 0.0267D feet/hour
- According to the question, the second rabbit covered 7/120 of the distance in 2.5 hours
- Therefore, the speed of the second rabbit (y) can be calculated as:
- (7/120)D = y * (5/2)
- y = (7/120)D * (2/5)
- y = 0.0233D feet/hour
- The first rabbit travelled 800 feet to the meeting point
- Therefore, the distance travelled by the second rabbit can be calculated as:
- D - 800 feet
- Now, we know that both rabbits covered the same distance to reach the meeting point
- Therefore, we can equate the distance covered by the first and second rabbits
- 0.08D * t = (D - 800) * 0.0233D
- t = (D - 800) * 0.0233D / 0.08D
- t = (D - 800) * 0.2913 hours
- We know that the total time taken by both rabbits to reach the meeting point is the same
- Therefore, we can equate the time taken by the first and second rabbits
- 3 + t = 2.5 hours
- t = 2.5 - 3
- t = -0.5 hours (which is not possible)
- Therefore, our assumption that both rabbits start simultaneously is wrong
- Let's assume that the second rabbit started t hours after the first rabbit
- Therefore, the time taken by the first rabbit to reach the meeting point is:
- 3 hours
- And, the time taken by the second rabbit to reach the meeting point is:
- 2.5 + t hours
- We know that both rabbits covered the same distance to reach the meeting point
- Therefore, we can equate the distance covered by the first and second rabbits
- 0.08D * 3 = (D - 800) * 0.0233D * (2.5 + t)
- 0.24D = (D - 800) * 0.0233D * (2.5 + t)
- t = (0.24D / (0.0233D * (2.5 + t))) - (2.5)
- We can simplify this equation to get:
- First rabbit covers 8% of the distance between the two rabbit holes in 3 hours
- Second rabbit covered 7/120 of the distance in 2 hours 30 minutes
- First rabbit travelled 800 feet to the meeting points
To find: Speed of the second rabbit in feet/hour
Calculation:
Let the distance between the two rabbit holes be D feet
Let the speed of the first rabbit be x feet/hour
Let the speed of the second rabbit be y feet/hour
- According to the question, the first rabbit covered 8% of the distance in 3 hours
- Therefore, the speed of the first rabbit (x) can be calculated as:
- (8/100)D = x * 3
- x = 0.08D/3
- x = 0.0267D feet/hour
- According to the question, the second rabbit covered 7/120 of the distance in 2.5 hours
- Therefore, the speed of the second rabbit (y) can be calculated as:
- (7/120)D = y * (5/2)
- y = (7/120)D * (2/5)
- y = 0.0233D feet/hour
- The first rabbit travelled 800 feet to the meeting point
- Therefore, the distance travelled by the second rabbit can be calculated as:
- D - 800 feet
- Now, we know that both rabbits covered the same distance to reach the meeting point
- Therefore, we can equate the distance covered by the first and second rabbits
- 0.08D * t = (D - 800) * 0.0233D
- t = (D - 800) * 0.0233D / 0.08D
- t = (D - 800) * 0.2913 hours
- We know that the total time taken by both rabbits to reach the meeting point is the same
- Therefore, we can equate the time taken by the first and second rabbits
- 3 + t = 2.5 hours
- t = 2.5 - 3
- t = -0.5 hours (which is not possible)
- Therefore, our assumption that both rabbits start simultaneously is wrong
- Let's assume that the second rabbit started t hours after the first rabbit
- Therefore, the time taken by the first rabbit to reach the meeting point is:
- 3 hours
- And, the time taken by the second rabbit to reach the meeting point is:
- 2.5 + t hours
- We know that both rabbits covered the same distance to reach the meeting point
- Therefore, we can equate the distance covered by the first and second rabbits
- 0.08D * 3 = (D - 800) * 0.0233D * (2.5 + t)
- 0.24D = (D - 800) * 0.0233D * (2.5 + t)
- t = (0.24D / (0.0233D * (2.5 + t))) - (2.5)
- We can simplify this equation to get:
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A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?a)Rs. 380b)Rs. 600c)Rs. 420 d)Rs. 400 Correct answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?a)Rs. 380b)Rs. 600c)Rs. 420 d)Rs. 400 Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?a)Rs. 380b)Rs. 600c)Rs. 420 d)Rs. 400 Correct answer is option 'D'. Can you explain this answer?.
A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?a)Rs. 380b)Rs. 600c)Rs. 420 d)Rs. 400 Correct answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?a)Rs. 380b)Rs. 600c)Rs. 420 d)Rs. 400 Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?a)Rs. 380b)Rs. 600c)Rs. 420 d)Rs. 400 Correct answer is option 'D'. Can you explain this answer?.
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A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?a)Rs. 380b)Rs. 600c)Rs. 420 d)Rs. 400 Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?a)Rs. 380b)Rs. 600c)Rs. 420 d)Rs. 400 Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?a)Rs. 380b)Rs. 600c)Rs. 420 d)Rs. 400 Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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