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A can do a piece of work in 20 days and B can do it in 30 days. They worked together for 8 days and B left the field, the remaining work was completed by A. If they earned Rs.15,000. Find the share of A?
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A can do a piece of work in 20 days and B can do it in 30 days. They w...
Work Rate of A and B
A can complete the work in 20 days, while B can do it in 30 days.
- A's work rate = 1/20 of the work per day
- B's work rate = 1/30 of the work per day
Combined Work Rate
When A and B work together, their combined work rate is:
- Combined work rate = (1/20 + 1/30)
To find a common denominator (LCM of 20 and 30 = 60):
- A's rate = 3/60
- B's rate = 2/60
Thus,
- Combined rate = (3/60 + 2/60) = 5/60 = 1/12 of the work per day
Work Done in 8 Days
In 8 days, A and B together complete:
- Work done = 8 * (1/12) = 8/12 = 2/3 of the work
Remaining Work
The remaining work after 8 days is:
- Remaining work = 1 - 2/3 = 1/3
Work Done by A Alone
A completes the remaining 1/3 of the work.
- Time taken by A to finish remaining work = (1/3) / (1/20) = 20/3 days ≈ 6.67 days
Share of Earnings
The total earnings are Rs.15,000.
- Calculate A's total work contribution:
A worked for 8 days with B and completed 20/3 days alone:
- Total days A worked = 8 + 20/3 = 8 + 6.67 ≈ 14.67 days
- Work contribution of A = 14.67 days * (1/20) = 14.67/20 = 0.7335 of the work
Calculation of A's Share
- Total work = 1
- A's share of work = 0.7335
- A's earnings = 0.7335 * Rs.15,000 = Rs.11,002.50
Thus, A's share of the earnings is approximately Rs. 11,002.50.
A can complete the work in 20 days, while B can do it in 30 days.
- A's work rate = 1/20 of the work per day
- B's work rate = 1/30 of the work per day
Combined Work Rate
When A and B work together, their combined work rate is:
- Combined work rate = (1/20 + 1/30)
To find a common denominator (LCM of 20 and 30 = 60):
- A's rate = 3/60
- B's rate = 2/60
Thus,
- Combined rate = (3/60 + 2/60) = 5/60 = 1/12 of the work per day
Work Done in 8 Days
In 8 days, A and B together complete:
- Work done = 8 * (1/12) = 8/12 = 2/3 of the work
Remaining Work
The remaining work after 8 days is:
- Remaining work = 1 - 2/3 = 1/3
Work Done by A Alone
A completes the remaining 1/3 of the work.
- Time taken by A to finish remaining work = (1/3) / (1/20) = 20/3 days ≈ 6.67 days
Share of Earnings
The total earnings are Rs.15,000.
- Calculate A's total work contribution:
A worked for 8 days with B and completed 20/3 days alone:
- Total days A worked = 8 + 20/3 = 8 + 6.67 ≈ 14.67 days
- Work contribution of A = 14.67 days * (1/20) = 14.67/20 = 0.7335 of the work
Calculation of A's Share
- Total work = 1
- A's share of work = 0.7335
- A's earnings = 0.7335 * Rs.15,000 = Rs.11,002.50
Thus, A's share of the earnings is approximately Rs. 11,002.50.
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A can do a piece of work in 20 days and B can do it in 30 days. They worked together for 8 days and B left the field, the remaining work was completed by A. If they earned Rs.15,000. Find the share of A?
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A can do a piece of work in 20 days and B can do it in 30 days. They worked together for 8 days and B left the field, the remaining work was completed by A. If they earned Rs.15,000. Find the share of A? 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. They worked together for 8 days and B left the field, the remaining work was completed by A. If they earned Rs.15,000. Find the share of A? 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. They worked together for 8 days and B left the field, the remaining work was completed by A. If they earned Rs.15,000. Find the share of A?.
A can do a piece of work in 20 days and B can do it in 30 days. They worked together for 8 days and B left the field, the remaining work was completed by A. If they earned Rs.15,000. Find the share of A? 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. They worked together for 8 days and B left the field, the remaining work was completed by A. If they earned Rs.15,000. Find the share of A? 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. They worked together for 8 days and B left the field, the remaining work was completed by A. If they earned Rs.15,000. Find the share of A?.
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