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Mayank can do 50% more work than Shishu in the same time. Shishu alone can do a piece of work in 30 hours. Shishu starts working and he had already worked for 12 hours when Mayank joins him. How many hours should Shishu and Mayank work together to complete the remaining work?
- a)6
- b)12
- c)4.8
- d)7.2
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Mayank can do 50% more work than Shishu in the same time. Shishu alone...
Shishu alone does the work in 30 hours
So in 1 hour he does 1/30 of the work
Mayank in 1 hour does 1/30 + 1/2*1/30= 1/30 +1/60 = 3/60 = 1/20 of the work
Together in 1 hour they do 1/30 +1/20 = 5/60 = 1/12 of the work
Together they can finish the work in 12 hours
Shishu in 12 hours does 12/ 30 = 2/5
Remaining work = 3/5
3/5 X 12 = 36/5 = 7.2 hours
Most Upvoted Answer
Mayank can do 50% more work than Shishu in the same time. Shishu alone...
Answer is 10.8 hrs , which is not there in options . how 7.2 can be the answer please explain ??
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Mayank can do 50% more work than Shishu in the same time. Shishu alone...
Given:
Mayank can do 50% more work than Shishu in the same time.
Shishu alone can do a piece of work in 30 hours.
Shishu starts working and he had already worked for 12 hours when Mayank joins him.
To find: How many hours should Shishu and Mayank work together to complete the remaining work?
Solution:
Let us assume that Shishu can do 1 unit of work in 1 hour.
So, Shishu can do the whole work in 30 hours.
Mayank can do 50% more work than Shishu in the same time.
So, Mayank can do 1.5 units of work in 1 hour.
Shishu works for 12 hours.
So, Shishu has completed 12 units of work.
Remaining work = 1 unit of work - 12 units of work = -11 units of work
(Note: Here, negative sign indicates that the work is already done by Shishu and Mayank)
Now, Shishu and Mayank work together to complete the remaining work.
Let the time taken by both of them be x hours.
Shishu can do (1/30) units of work in 1 hour.
So, in x hours, Shishu can do (x/30) units of work.
Mayank can do 1.5 units of work in 1 hour.
So, in x hours, Mayank can do (1.5x) units of work.
Total work done by both of them = Work done by Shishu + Work done by Mayank
-11 = (x/30) + (1.5x)
-11 = (3x/60) + (2x/60)
-11 = (5x/60)
x = (-11 * 60) / 5
x = -132
The negative value of x is not possible as time cannot be negative.
So, we can ignore the negative sign and take the absolute value of x.
x = 132/5
x = 26.4
Therefore, Shishu and Mayank should work together for 26.4 hours (approx) to complete the remaining work.
Answer: Option D) 7.2 (approx)
Mayank can do 50% more work than Shishu in the same time.
Shishu alone can do a piece of work in 30 hours.
Shishu starts working and he had already worked for 12 hours when Mayank joins him.
To find: How many hours should Shishu and Mayank work together to complete the remaining work?
Solution:
Let us assume that Shishu can do 1 unit of work in 1 hour.
So, Shishu can do the whole work in 30 hours.
Mayank can do 50% more work than Shishu in the same time.
So, Mayank can do 1.5 units of work in 1 hour.
Shishu works for 12 hours.
So, Shishu has completed 12 units of work.
Remaining work = 1 unit of work - 12 units of work = -11 units of work
(Note: Here, negative sign indicates that the work is already done by Shishu and Mayank)
Now, Shishu and Mayank work together to complete the remaining work.
Let the time taken by both of them be x hours.
Shishu can do (1/30) units of work in 1 hour.
So, in x hours, Shishu can do (x/30) units of work.
Mayank can do 1.5 units of work in 1 hour.
So, in x hours, Mayank can do (1.5x) units of work.
Total work done by both of them = Work done by Shishu + Work done by Mayank
-11 = (x/30) + (1.5x)
-11 = (3x/60) + (2x/60)
-11 = (5x/60)
x = (-11 * 60) / 5
x = -132
The negative value of x is not possible as time cannot be negative.
So, we can ignore the negative sign and take the absolute value of x.
x = 132/5
x = 26.4
Therefore, Shishu and Mayank should work together for 26.4 hours (approx) to complete the remaining work.
Answer: Option D) 7.2 (approx)
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Mayank can do 50% more work than Shishu in the same time. Shishu alone can do a piece of work in 30 hours. Shishu starts working and he had already worked for 12 hours when Mayank joins him. How many hours should Shishu and Mayank work together to complete the remaining work?a)6b)12c)4.8d)7.2Correct answer is option 'D'. Can you explain this answer?
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Mayank can do 50% more work than Shishu in the same time. Shishu alone can do a piece of work in 30 hours. Shishu starts working and he had already worked for 12 hours when Mayank joins him. How many hours should Shishu and Mayank work together to complete the remaining work?a)6b)12c)4.8d)7.2Correct answer is option 'D'. 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 Mayank can do 50% more work than Shishu in the same time. Shishu alone can do a piece of work in 30 hours. Shishu starts working and he had already worked for 12 hours when Mayank joins him. How many hours should Shishu and Mayank work together to complete the remaining work?a)6b)12c)4.8d)7.2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mayank can do 50% more work than Shishu in the same time. Shishu alone can do a piece of work in 30 hours. Shishu starts working and he had already worked for 12 hours when Mayank joins him. How many hours should Shishu and Mayank work together to complete the remaining work?a)6b)12c)4.8d)7.2Correct answer is option 'D'. Can you explain this answer?.
Mayank can do 50% more work than Shishu in the same time. Shishu alone can do a piece of work in 30 hours. Shishu starts working and he had already worked for 12 hours when Mayank joins him. How many hours should Shishu and Mayank work together to complete the remaining work?a)6b)12c)4.8d)7.2Correct answer is option 'D'. 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 Mayank can do 50% more work than Shishu in the same time. Shishu alone can do a piece of work in 30 hours. Shishu starts working and he had already worked for 12 hours when Mayank joins him. How many hours should Shishu and Mayank work together to complete the remaining work?a)6b)12c)4.8d)7.2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mayank can do 50% more work than Shishu in the same time. Shishu alone can do a piece of work in 30 hours. Shishu starts working and he had already worked for 12 hours when Mayank joins him. How many hours should Shishu and Mayank work together to complete the remaining work?a)6b)12c)4.8d)7.2Correct answer is option 'D'. Can you explain this answer?.
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