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Bharat and Priyanka can do a piece of work in 45 and 40 days respectively. They began the work together, but Bharat leaves after some days and Priyanka finished the remaining work in 23 days. After how many days did Bharat leave?
- a)7 days
- b)8 days
- c)9 days
- d)11 days
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Bharat and Priyanka can do a piece of work in 45 and 40 days respectiv...
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Understanding the Problem
Bharat and Priyanka can complete a piece of work in 45 days and 40 days, respectively. They start the work together, but Bharat leaves after some days, and Priyanka completes the remaining work in 23 days.
Calculating Work Rates
- Bharat's work rate = 1/45 (work done per day)
- Priyanka's work rate = 1/40 (work done per day)
Combined Work Rate
- Together, they can complete:
(1/45 + 1/40) = (40 + 45) / (45 * 40) = 85 / 1800 = 17 / 360
This means they can complete 17/360 of the work in a day when working together.
Work Done by Priyanka
- Priyanka works alone for 23 days, completing:
Work done by Priyanka = 23 * (1/40) = 23/40
Calculating Remaining Work
- Let the total work be W. The combined work done by Bharat and Priyanka before Bharat leaves is:
W - (23/40)
- The work done by them together for x days:
Work done together = x * (17/360)
This leads to the equation:
x * (17/360) + (23/40) = W
Finding Total Work W
- To find W, we can solve:
x * (17/360) = W - (23/40)
- Equating the two work portions, we can express W in terms of x, and then find the value of x.
Final Calculation
- After substituting and solving, we find that Bharat worked for 9 days before leaving.
Therefore, the answer is:
Correct Answer: c) 9 days
Bharat and Priyanka can complete a piece of work in 45 days and 40 days, respectively. They start the work together, but Bharat leaves after some days, and Priyanka completes the remaining work in 23 days.
Calculating Work Rates
- Bharat's work rate = 1/45 (work done per day)
- Priyanka's work rate = 1/40 (work done per day)
Combined Work Rate
- Together, they can complete:
(1/45 + 1/40) = (40 + 45) / (45 * 40) = 85 / 1800 = 17 / 360
This means they can complete 17/360 of the work in a day when working together.
Work Done by Priyanka
- Priyanka works alone for 23 days, completing:
Work done by Priyanka = 23 * (1/40) = 23/40
Calculating Remaining Work
- Let the total work be W. The combined work done by Bharat and Priyanka before Bharat leaves is:
W - (23/40)
- The work done by them together for x days:
Work done together = x * (17/360)
This leads to the equation:
x * (17/360) + (23/40) = W
Finding Total Work W
- To find W, we can solve:
x * (17/360) = W - (23/40)
- Equating the two work portions, we can express W in terms of x, and then find the value of x.
Final Calculation
- After substituting and solving, we find that Bharat worked for 9 days before leaving.
Therefore, the answer is:
Correct Answer: c) 9 days
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Bharat and Priyanka can do a piece of work in 45 and 40 days respectively. They began the work together, but Bharat leaves after some days and Priyanka finished the remaining work in 23 days. After how many days did Bharat leave?a)7 daysb)8 daysc)9 daysd)11 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer?
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Bharat and Priyanka can do a piece of work in 45 and 40 days respectively. They began the work together, but Bharat leaves after some days and Priyanka finished the remaining work in 23 days. After how many days did Bharat leave?a)7 daysb)8 daysc)9 daysd)11 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Bharat and Priyanka can do a piece of work in 45 and 40 days respectively. They began the work together, but Bharat leaves after some days and Priyanka finished the remaining work in 23 days. After how many days did Bharat leave?a)7 daysb)8 daysc)9 daysd)11 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Bharat and Priyanka can do a piece of work in 45 and 40 days respectively. They began the work together, but Bharat leaves after some days and Priyanka finished the remaining work in 23 days. After how many days did Bharat leave?a)7 daysb)8 daysc)9 daysd)11 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Bharat and Priyanka can do a piece of work in 45 and 40 days respectively. They began the work together, but Bharat leaves after some days and Priyanka finished the remaining work in 23 days. After how many days did Bharat leave?a)7 daysb)8 daysc)9 daysd)11 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Bharat and Priyanka can do a piece of work in 45 and 40 days respectively. They began the work together, but Bharat leaves after some days and Priyanka finished the remaining work in 23 days. After how many days did Bharat leave?a)7 daysb)8 daysc)9 daysd)11 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Bharat and Priyanka can do a piece of work in 45 and 40 days respectively. They began the work together, but Bharat leaves after some days and Priyanka finished the remaining work in 23 days. After how many days did Bharat leave?a)7 daysb)8 daysc)9 daysd)11 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Bharat and Priyanka can do a piece of work in 45 and 40 days respectively. They began the work together, but Bharat leaves after some days and Priyanka finished the remaining work in 23 days. After how many days did Bharat leave?a)7 daysb)8 daysc)9 daysd)11 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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