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Mohan can do a bit of work in 25 days which can be completed by Sohan in 20 days. Both together labour for 5 days and afterward Mohan leaves off. How long will Sohan take to complete the remaining work ?
- a)20 days
- b)11 days
- c)14 days
- d)21 days
- e)None of the above/More than one of the above
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Mohan can do a bit of work in 25 days which can be completed by Sohan ...
Given:
Part of the work done by Mohan in 25 days = Part of the work done by Sohan in 20 days
Formula Used:
Work done = Time × Efficiency
Calculation:
Let the total work done by Mohan in 25 days = x units
So, Mohan's efficiency = x/25
Also, Sohan's efficiency = x/20
Hence, the part of the work they complete together in 5 days:
5 × [(x/25) + (x/20)] = 9x/20
Remaining work = x - (9x/20) = 11x/20
∴ Time taken by Sohan to complete the remaining work = (11x/20)/(x/20) = 11 days
Most Upvoted Answer
Mohan can do a bit of work in 25 days which can be completed by Sohan ...
Let's assume that Mohan's work rate is M units per day and Sohan's work rate is S units per day.
According to the given information:
Mohan can do a bit of work in 25 days, which means he can complete 1/25th of the work in a day.
So, Mohan's work rate (M) = 1/25 units/day.
Sohan can do the same bit of work in 20 days, which means he can complete 1/20th of the work in a day.
So, Sohan's work rate (S) = 1/20 units/day.
Working together for 5 days:
When Mohan and Sohan work together for 5 days, their combined work rate is the sum of their individual work rates.
Total work done in 5 days = (M + S) * 5
Remaining work:
The total work is completed by Mohan and Sohan in 25 days, and they worked together for 5 days. So, the remaining work is:
Remaining work = Total work - Work done in 5 days
Remaining work = 1 - (M + S) * 5
Time taken by Sohan to complete the remaining work:
Now, we need to find out how long Sohan will take to complete the remaining work. Let's assume it will take Sohan T days to complete the remaining work.
So, Sohan's work rate (S) = Remaining work / T
1/20 = [1 - (M + S) * 5] / T
Solving the equation:
Let's substitute the values of M and S and solve the equation to find the value of T.
1/20 = [1 - (1/25 + 1/20) * 5] / T
1/20 = [1 - (9/100)] / T
1/20 = (91/100) / T
T = (100 * 20) / 91
T ≈ 21
Hence, Sohan will take approximately 21 days to complete the remaining work.
Therefore, the correct answer is option (d) 21 days.
According to the given information:
Mohan can do a bit of work in 25 days, which means he can complete 1/25th of the work in a day.
So, Mohan's work rate (M) = 1/25 units/day.
Sohan can do the same bit of work in 20 days, which means he can complete 1/20th of the work in a day.
So, Sohan's work rate (S) = 1/20 units/day.
Working together for 5 days:
When Mohan and Sohan work together for 5 days, their combined work rate is the sum of their individual work rates.
Total work done in 5 days = (M + S) * 5
Remaining work:
The total work is completed by Mohan and Sohan in 25 days, and they worked together for 5 days. So, the remaining work is:
Remaining work = Total work - Work done in 5 days
Remaining work = 1 - (M + S) * 5
Time taken by Sohan to complete the remaining work:
Now, we need to find out how long Sohan will take to complete the remaining work. Let's assume it will take Sohan T days to complete the remaining work.
So, Sohan's work rate (S) = Remaining work / T
1/20 = [1 - (M + S) * 5] / T
Solving the equation:
Let's substitute the values of M and S and solve the equation to find the value of T.
1/20 = [1 - (1/25 + 1/20) * 5] / T
1/20 = [1 - (9/100)] / T
1/20 = (91/100) / T
T = (100 * 20) / 91
T ≈ 21
Hence, Sohan will take approximately 21 days to complete the remaining work.
Therefore, the correct answer is option (d) 21 days.
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Mohan can do a bit of work in 25 days which can be completed by Sohan in 20 days. Both together labour for 5 days and afterward Mohan leaves off. How long will Sohan take to complete the remaining work ?a)20 daysb)11 daysc)14 daysd)21 dayse)None of the above/More than one of the aboveCorrect answer is option 'B'. Can you explain this answer? for BPSC (Bihar) 2025 is part of BPSC (Bihar) preparation. The Question and answers have been prepared according to the BPSC (Bihar) exam syllabus. Information about Mohan can do a bit of work in 25 days which can be completed by Sohan in 20 days. Both together labour for 5 days and afterward Mohan leaves off. How long will Sohan take to complete the remaining work ?a)20 daysb)11 daysc)14 daysd)21 dayse)None of the above/More than one of the aboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for BPSC (Bihar) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mohan can do a bit of work in 25 days which can be completed by Sohan in 20 days. Both together labour for 5 days and afterward Mohan leaves off. How long will Sohan take to complete the remaining work ?a)20 daysb)11 daysc)14 daysd)21 dayse)None of the above/More than one of the aboveCorrect answer is option 'B'. Can you explain this answer?.
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