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A can do a piece of work in 20 days and B can do it in 30 days. A started the work and after 5 days B joins him. What is the total number of days taken by them to complete the work?
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A can do a piece of work in 20 days and B can do it in 30 days. A star...
Work Capacity of A and B
A can complete the work in 20 days, which means his work capacity is:
B can complete the same work in 30 days, so his work capacity is:
Work Done by A in the First 5 Days
When A works alone for the first 5 days:
Remaining Work After 5 Days
After A has worked for 5 days, the remaining work is:
Combined Work Rate of A and B
When B joins A, their combined work rate is:
Time Taken to Complete Remaining Work
Now, to find how long it will take for A and B to finish the remaining 3/4 of the work:
Total Time to Complete the Work
Finally, the total number of days to complete the work is:
Thus, A and B complete the work in **14 days**.
A can complete the work in 20 days, which means his work capacity is:
- A's work rate = 1/20 work per day
B can complete the same work in 30 days, so his work capacity is:
- B's work rate = 1/30 work per day
Work Done by A in the First 5 Days
When A works alone for the first 5 days:
- Work done by A in 5 days = 5 * (1/20) = 5/20 = 1/4 of the work
Remaining Work After 5 Days
After A has worked for 5 days, the remaining work is:
- Remaining work = 1 - 1/4 = 3/4 of the work
Combined Work Rate of A and B
When B joins A, their combined work rate is:
- Combined work rate = (1/20) + (1/30)
- To add these fractions, find a common denominator (60):
- Combined work rate = (3/60) + (2/60) = 5/60 = 1/12 work per day
Time Taken to Complete Remaining Work
Now, to find how long it will take for A and B to finish the remaining 3/4 of the work:
- Time = Remaining work / Combined work rate = (3/4) / (1/12)
- Time = (3/4) * (12/1) = 36/4 = 9 days
Total Time to Complete the Work
Finally, the total number of days to complete the work is:
- Total time = Time worked by A alone + Time worked together = 5 days + 9 days = 14 days
Thus, A and B complete the work in **14 days**.
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A can do a piece of work in 20 days and B can do it in 30 days. A started the work and after 5 days B joins him. What is the total number of days taken by them to complete the work?
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A can do a piece of work in 20 days and B can do it in 30 days. A started the work and after 5 days B joins him. What is the total number of days taken by them to complete the work? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about A can do a piece of work in 20 days and B can do it in 30 days. A started the work and after 5 days B joins him. What is the total number of days taken by them to complete the work? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can do a piece of work in 20 days and B can do it in 30 days. A started the work and after 5 days B joins him. What is the total number of days taken by them to complete the work?.
A can do a piece of work in 20 days and B can do it in 30 days. A started the work and after 5 days B joins him. What is the total number of days taken by them to complete the work? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about A can do a piece of work in 20 days and B can do it in 30 days. A started the work and after 5 days B joins him. What is the total number of days taken by them to complete the work? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can do a piece of work in 20 days and B can do it in 30 days. A started the work and after 5 days B joins him. What is the total number of days taken by them to complete the work?.
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