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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)13 days
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 Work Rates
Bharat and Priyanka can complete the work in 45 and 40 days respectively. To find their 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
When they work together, their combined work rate is:
- Combined work rate = (1/45 + 1/40)
To simplify:
- Find the least common multiple (LCM) of 45 and 40, which is 360.
- Bharat's contribution in 360 days = 8 (360/45)
- Priyanka's contribution in 360 days = 9 (360/40)
Thus, combined work rate = (8 + 9)/360 = 17/360.
Work Done Before Bharat Leaves
Let 'x' be the number of days they worked together before Bharat left. The work done in 'x' days is:
- Work done = x * (17/360)
Remaining Work and Priyanka's Contribution
The remaining work is:
- Remaining work = 1 - (x * 17/360)
Priyanka finishes this remaining work in 23 days, so:
- Work done by Priyanka in 23 days = 23 * (1/40) = 23/40.
Equating the remaining work gives:
1 - (x * 17/360) = 23/40.
Solving for 'x'
To solve for 'x', rearranging gives:
x * 17/360 = 1 - 23/40.
Finding a common denominator for 1 and 23/40 (which is 40):
1 = 40/40, thus:
40/40 - 23/40 = 17/40.
Now,
x * 17/360 = 17/40.
Cross-multiplying:
x = (17 * 360) / (17 * 9) = 40.
Thus, x = 8 days.
Conclusion
Bharat left after 8 days of work. The correct answer is option 'C'.
Bharat and Priyanka can complete the work in 45 and 40 days respectively. To find their 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
When they work together, their combined work rate is:
- Combined work rate = (1/45 + 1/40)
To simplify:
- Find the least common multiple (LCM) of 45 and 40, which is 360.
- Bharat's contribution in 360 days = 8 (360/45)
- Priyanka's contribution in 360 days = 9 (360/40)
Thus, combined work rate = (8 + 9)/360 = 17/360.
Work Done Before Bharat Leaves
Let 'x' be the number of days they worked together before Bharat left. The work done in 'x' days is:
- Work done = x * (17/360)
Remaining Work and Priyanka's Contribution
The remaining work is:
- Remaining work = 1 - (x * 17/360)
Priyanka finishes this remaining work in 23 days, so:
- Work done by Priyanka in 23 days = 23 * (1/40) = 23/40.
Equating the remaining work gives:
1 - (x * 17/360) = 23/40.
Solving for 'x'
To solve for 'x', rearranging gives:
x * 17/360 = 1 - 23/40.
Finding a common denominator for 1 and 23/40 (which is 40):
1 = 40/40, thus:
40/40 - 23/40 = 17/40.
Now,
x * 17/360 = 17/40.
Cross-multiplying:
x = (17 * 360) / (17 * 9) = 40.
Thus, x = 8 days.
Conclusion
Bharat left after 8 days of work. The correct answer is option 'C'.
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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)13 daysCorrect 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)13 daysCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams 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)13 daysCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 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)13 daysCorrect 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)13 daysCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams 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)13 daysCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 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)13 daysCorrect answer is option 'C'. Can you explain this answer?.
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