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Mohan takes 8 days less than the time taken by Ravi to finish a piece of work. If both Mohan and Ravi together can finish it in 7.5 days, then how many days Ravi will take to finish the work alone ?
- a)15 days
- b)18 days
- c)20 days
- d)24 days
- e)28 days
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Mohan takes 8 days less than the time taken by Ravi to finish a piece ...
Let Ravi takes ‘x’ days to finish the work, so Mohan will take (x - 8) days to finish the work.
1/x + 1/x-8 = 2/15
(2x-8)/(x22 - 8x) = 2/15
(x - 4) ×15 = x2 - 8x
x2 - 23 x + 60 = 0
x2- 20x - 3 x + 60 = 0
x ( x - 20) - 3 ( x - 20) = 0
x = 20, 3
We discard x = 3 as it is less than 8.
x = 20 days
Most Upvoted Answer
Mohan takes 8 days less than the time taken by Ravi to finish a piece ...
Given:
- Mohan takes 8 days less than Ravi to finish the work.
- Mohan and Ravi together can finish the work in 7.5 days.
To find:
- The number of days Ravi will take to finish the work alone.
Let's assume that Ravi takes x days to finish the work alone.
Mohan takes 8 days less than Ravi to finish the work, so Mohan takes (x-8) days to finish the work alone.
We are given that Mohan and Ravi together can finish the work in 7.5 days.
Using the concept of work done per day, we can calculate the work done by Mohan and Ravi together in one day.
Work done by Mohan and Ravi together in one day = 1/7.5
Now, let's calculate the work done by Ravi and Mohan individually in one day.
Work done by Ravi in one day = 1/x
Work done by Mohan in one day = 1/(x-8)
Since the work done by Mohan and Ravi together in one day is equal to the sum of their individual work done in one day, we can write the equation:
1/x + 1/(x-8) = 1/7.5
To solve this equation, we can find the common denominator and simplify:
[(x-8) + x] / (x(x-8)) = 1/7.5
(2x - 8) / (x^2 - 8x) = 1/7.5
Cross multiplying, we get:
7.5(2x - 8) = (x^2 - 8x)
15x - 60 = x^2 - 8x
Rearranging the terms, we get a quadratic equation:
x^2 - 23x + 60 = 0
Factoring the equation, we get:
(x - 3)(x - 20) = 0
So, the possible values for x are 3 and 20. But since Mohan takes 8 days less than Ravi, the value of x cannot be 3.
Therefore, the number of days Ravi will take to finish the work alone is 20.
Hence, the correct answer is option C) 20 days.
- Mohan takes 8 days less than Ravi to finish the work.
- Mohan and Ravi together can finish the work in 7.5 days.
To find:
- The number of days Ravi will take to finish the work alone.
Let's assume that Ravi takes x days to finish the work alone.
Mohan takes 8 days less than Ravi to finish the work, so Mohan takes (x-8) days to finish the work alone.
We are given that Mohan and Ravi together can finish the work in 7.5 days.
Using the concept of work done per day, we can calculate the work done by Mohan and Ravi together in one day.
Work done by Mohan and Ravi together in one day = 1/7.5
Now, let's calculate the work done by Ravi and Mohan individually in one day.
Work done by Ravi in one day = 1/x
Work done by Mohan in one day = 1/(x-8)
Since the work done by Mohan and Ravi together in one day is equal to the sum of their individual work done in one day, we can write the equation:
1/x + 1/(x-8) = 1/7.5
To solve this equation, we can find the common denominator and simplify:
[(x-8) + x] / (x(x-8)) = 1/7.5
(2x - 8) / (x^2 - 8x) = 1/7.5
Cross multiplying, we get:
7.5(2x - 8) = (x^2 - 8x)
15x - 60 = x^2 - 8x
Rearranging the terms, we get a quadratic equation:
x^2 - 23x + 60 = 0
Factoring the equation, we get:
(x - 3)(x - 20) = 0
So, the possible values for x are 3 and 20. But since Mohan takes 8 days less than Ravi, the value of x cannot be 3.
Therefore, the number of days Ravi will take to finish the work alone is 20.
Hence, the correct answer is option C) 20 days.
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Mohan takes 8 days less than the time taken by Ravi to finish a piece of work. If both Mohan and Ravi together can finish it in 7.5 days, then how many days Ravi will take to finish the work alone ?a)15 daysb)18 daysc)20 daysd)24 dayse)28 daysCorrect answer is option 'C'. Can you explain this answer?
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Mohan takes 8 days less than the time taken by Ravi to finish a piece of work. If both Mohan and Ravi together can finish it in 7.5 days, then how many days Ravi will take to finish the work alone ?a)15 daysb)18 daysc)20 daysd)24 dayse)28 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 Mohan takes 8 days less than the time taken by Ravi to finish a piece of work. If both Mohan and Ravi together can finish it in 7.5 days, then how many days Ravi will take to finish the work alone ?a)15 daysb)18 daysc)20 daysd)24 dayse)28 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 Mohan takes 8 days less than the time taken by Ravi to finish a piece of work. If both Mohan and Ravi together can finish it in 7.5 days, then how many days Ravi will take to finish the work alone ?a)15 daysb)18 daysc)20 daysd)24 dayse)28 daysCorrect answer is option 'C'. Can you explain this answer?.
Mohan takes 8 days less than the time taken by Ravi to finish a piece of work. If both Mohan and Ravi together can finish it in 7.5 days, then how many days Ravi will take to finish the work alone ?a)15 daysb)18 daysc)20 daysd)24 dayse)28 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 Mohan takes 8 days less than the time taken by Ravi to finish a piece of work. If both Mohan and Ravi together can finish it in 7.5 days, then how many days Ravi will take to finish the work alone ?a)15 daysb)18 daysc)20 daysd)24 dayse)28 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 Mohan takes 8 days less than the time taken by Ravi to finish a piece of work. If both Mohan and Ravi together can finish it in 7.5 days, then how many days Ravi will take to finish the work alone ?a)15 daysb)18 daysc)20 daysd)24 dayse)28 daysCorrect answer is option 'C'. Can you explain this answer?.
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