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A and B can finish a work in 10 days and 15 days respectively. They worked together for 2 days and A left the field the remaining work was completed by B. If they earned Rs.250. Find the share of B?
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A and B can finish a work in 10 days and 15 days respectively. They wo...
Work Efficiency of A and B
- A can complete the work in 10 days.
- B can complete the work in 15 days.
Calculation of Work Done in One Day
- A's work in one day = 1/10
- B's work in one day = 1/15
Combined Work of A and B
- Together, A and B can complete:
- Finding a common denominator (30):
- Combined work per day:
Work Done in 2 Days
- In 2 days, A and B together complete:
Remaining Work
- Remaining work after 2 days:
Work Done by B Alone
- B will complete the remaining 2/3 of the work:
- Days required for B to finish 2/3 work:
Share of Earnings
- Total work completion = 2 days (A & B) + 10 days (B) = 12 days.
- Earnings distribution:
Final Share of B
- Thus, B's share is Rs. 208.33.
- A can complete the work in 10 days.
- B can complete the work in 15 days.
Calculation of Work Done in One Day
- A's work in one day = 1/10
- B's work in one day = 1/15
Combined Work of A and B
- Together, A and B can complete:
- (1/10 + 1/15) work in one day
- Finding a common denominator (30):
- A's work = 3/30
- B's work = 2/30
- Combined work per day:
- (3/30 + 2/30) = 5/30 = 1/6
Work Done in 2 Days
- In 2 days, A and B together complete:
- 2 * (1/6) = 1/3 of the work
Remaining Work
- Remaining work after 2 days:
- 1 - 1/3 = 2/3
Work Done by B Alone
- B will complete the remaining 2/3 of the work:
- B's daily work = 1/15
- Days required for B to finish 2/3 work:
- Time = (2/3) / (1/15) = 10 days
Share of Earnings
- Total work completion = 2 days (A & B) + 10 days (B) = 12 days.
- Earnings distribution:
- A's share = 2/12 = 1/6 of Rs. 250 = Rs. 41.67
- B's share = 10/12 = 5/6 of Rs. 250 = Rs. 208.33
Final Share of B
- Thus, B's share is Rs. 208.33.
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A and B can finish a work in 10 days and 15 days respectively. They worked together for 2 days and A left the field the remaining work was completed by B. If they earned Rs.250. Find the share of B?
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A and B can finish a work in 10 days and 15 days respectively. They worked together for 2 days and A left the field the remaining work was completed by B. If they earned Rs.250. Find the share of B? 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 and B can finish a work in 10 days and 15 days respectively. They worked together for 2 days and A left the field the remaining work was completed by B. If they earned Rs.250. Find the share of B? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B can finish a work in 10 days and 15 days respectively. They worked together for 2 days and A left the field the remaining work was completed by B. If they earned Rs.250. Find the share of B?.
A and B can finish a work in 10 days and 15 days respectively. They worked together for 2 days and A left the field the remaining work was completed by B. If they earned Rs.250. Find the share of B? 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 and B can finish a work in 10 days and 15 days respectively. They worked together for 2 days and A left the field the remaining work was completed by B. If they earned Rs.250. Find the share of B? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B can finish a work in 10 days and 15 days respectively. They worked together for 2 days and A left the field the remaining work was completed by B. If they earned Rs.250. Find the share of B?.
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