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A can do a piece of work in 25 days and B can finish it in 20 days. They work together for 5 days and then A goes away. In how many days will B finish the remaining work?
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A can do a piece of work in 25 days and B can finish it in 20 days. Th...
Understanding the Work Rates
A can complete the work in 25 days, meaning A’s work rate is:
- A's work rate = 1/25 (work per day)
B can finish the work in 20 days, so B’s work rate is:
- B's work rate = 1/20 (work per day)
Combined Work Rate
When A and B work together, their combined work rate is:
- Combined work rate = A's work rate + B's work rate
- Combined work rate = 1/25 + 1/20
To find the combined rate, we need a common denominator, which is 100:
- A's work rate = 4/100
- B's work rate = 5/100
- Combined work rate = 4/100 + 5/100 = 9/100
This means together they complete 9% of the work in one day.
Work Completed in 5 Days
In 5 days, the amount of work A and B complete together is:
- Work done in 5 days = 5 * (9/100) = 45/100 = 0.45 (or 45% of the work)
Remaining Work
The remaining work after 5 days is:
- Remaining work = 1 - 0.45 = 0.55 (or 55% of the work)
B Finishing the Remaining Work
Now, B will finish the remaining work alone. Since B's work rate is 1/20:
- Time taken by B to finish remaining work = Remaining work / B's work rate
- Time = 0.55 / (1/20) = 0.55 * 20 = 11 days
Conclusion
B will take 11 days to complete the remaining work after A leaves.
A can complete the work in 25 days, meaning A’s work rate is:
- A's work rate = 1/25 (work per day)
B can finish the work in 20 days, so B’s work rate is:
- B's work rate = 1/20 (work per day)
Combined Work Rate
When A and B work together, their combined work rate is:
- Combined work rate = A's work rate + B's work rate
- Combined work rate = 1/25 + 1/20
To find the combined rate, we need a common denominator, which is 100:
- A's work rate = 4/100
- B's work rate = 5/100
- Combined work rate = 4/100 + 5/100 = 9/100
This means together they complete 9% of the work in one day.
Work Completed in 5 Days
In 5 days, the amount of work A and B complete together is:
- Work done in 5 days = 5 * (9/100) = 45/100 = 0.45 (or 45% of the work)
Remaining Work
The remaining work after 5 days is:
- Remaining work = 1 - 0.45 = 0.55 (or 55% of the work)
B Finishing the Remaining Work
Now, B will finish the remaining work alone. Since B's work rate is 1/20:
- Time taken by B to finish remaining work = Remaining work / B's work rate
- Time = 0.55 / (1/20) = 0.55 * 20 = 11 days
Conclusion
B will take 11 days to complete the remaining work after A leaves.
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A can do a piece of work in 25 days and B can finish it in 20 days. They work together for 5 days and then A goes away. In how many days will B finish the remaining work?
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A can do a piece of work in 25 days and B can finish it in 20 days. They work together for 5 days and then A goes away. In how many days will B finish the remaining work? 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 A can do a piece of work in 25 days and B can finish it in 20 days. They work together for 5 days and then A goes away. In how many days will B finish the remaining work? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can do a piece of work in 25 days and B can finish it in 20 days. They work together for 5 days and then A goes away. In how many days will B finish the remaining work?.
A can do a piece of work in 25 days and B can finish it in 20 days. They work together for 5 days and then A goes away. In how many days will B finish the remaining work? 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 A can do a piece of work in 25 days and B can finish it in 20 days. They work together for 5 days and then A goes away. In how many days will B finish the remaining work? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can do a piece of work in 25 days and B can finish it in 20 days. They work together for 5 days and then A goes away. In how many days will B finish the remaining work?.
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