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Ramesh can till his plot of land in 10 hours. Suresh can till a plot that is double the size of Ramesh’s plot in 40 hours. Both of them decide to till another plot equal in size to Ramesh’s plot together. They work alternately for 1 hour starting with Suresh. How much time do they take to till the plot?
- a)7 hours
- b)12.5 hours
- c)13 hours
- d)13.5 hours
- e)14 hours
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Ramesh can till his plot of land in 10 hours. Suresh can till a plot t...
Solution: Ramesh tills his plot of land in 10 hours. Therefore, in every hour he tills 10% of the plot.
Suresh tills a plot double in size in 40 hours. So he can till a plot that is equal in size to Ramesh’s plot In 20 hours. Therefore, in every hour Suresh tills 5% of the plot.
Working alternately, in two hours Suresh and Ramesh till 5 + 10 = 15% of the plot.
In 12 hours they till 90% of the plot.
In the 13th hour Suresh tills 5% and in the next half an hour Ramesh tills 5%. So the total time required to till the plot is 13.5 hours.
Hence, option 4.
Suresh tills a plot double in size in 40 hours. So he can till a plot that is equal in size to Ramesh’s plot In 20 hours. Therefore, in every hour Suresh tills 5% of the plot.
Working alternately, in two hours Suresh and Ramesh till 5 + 10 = 15% of the plot.
In 12 hours they till 90% of the plot.
In the 13th hour Suresh tills 5% and in the next half an hour Ramesh tills 5%. So the total time required to till the plot is 13.5 hours.
Hence, option 4.
Most Upvoted Answer
Ramesh can till his plot of land in 10 hours. Suresh can till a plot t...
Solution: Ramesh tills his plot of land in 10 hours. Therefore, in every hour he tills 10% of the plot.
Suresh tills a plot double in size in 40 hours. So he can till a plot that is equal in size to Ramesh’s plot In 20 hours. Therefore, in every hour Suresh tills 5% of the plot.
Working alternately, in two hours Suresh and Ramesh till 5 + 10 = 15% of the plot.
In 12 hours they till 90% of the plot.
In the 13th hour Suresh tills 5% and in the next half an hour Ramesh tills 5%. So the total time required to till the plot is 13.5 hours.
Hence, option 4.
Suresh tills a plot double in size in 40 hours. So he can till a plot that is equal in size to Ramesh’s plot In 20 hours. Therefore, in every hour Suresh tills 5% of the plot.
Working alternately, in two hours Suresh and Ramesh till 5 + 10 = 15% of the plot.
In 12 hours they till 90% of the plot.
In the 13th hour Suresh tills 5% and in the next half an hour Ramesh tills 5%. So the total time required to till the plot is 13.5 hours.
Hence, option 4.
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Ramesh can till his plot of land in 10 hours. Suresh can till a plot t...
Given information:
- Ramesh can till his plot of land in 10 hours.
- Suresh can till a plot that is double the size of Ramesh's plot in 40 hours.
- Both of them decide to till another plot equal in size to Ramesh's plot together.
- They work alternately for 1 hour starting with Suresh.
To find:
How much time do they take to till the plot?
Step-by-step solution:
Let's assume that Ramesh's plot of land is x units and Suresh's plot of land is 2x units.
1. Determine the rate of work:
Ramesh's rate of work = 1 plot / 10 hours = 1/10 plot per hour
Suresh's rate of work = 1 plot / 40 hours = 1/40 plot per hour
Combined rate of work for both Ramesh and Suresh = (1/10 + 1/40) plot per hour = 1/8 plot per hour
2. Calculate the time taken for the combined work:
In the first hour, Suresh completes 1/40th of the plot, and in the second hour, Ramesh completes 1/10th of the plot.
So, in 2 hours, they together complete (1/40 + 1/10) = 1/8th of the plot.
3. Continue the pattern:
In the third hour, Suresh completes 1/40th of the plot, and in the fourth hour, Ramesh completes 1/10th of the plot.
So, in 4 hours, they together complete (1/40 + 1/10) = 1/8th of the plot.
4. Generalize the pattern:
From the above observation, we can see that for every 2 hours, they together complete 1/8th of the plot.
Therefore, for 8 hours, they will complete 4/8th = 1/2 of the plot.
5. Final calculation:
To complete the remaining 1/2 of the plot, they will require another 8 hours.
So, the total time taken to till the plot is 8 + 8 = 16 hours.
However, we need to consider that they work alternately for 1 hour starting with Suresh. Therefore, the actual time taken will be 1 hour less.
So, the final answer is 16 - 1 = 15 hours.
Hence, the correct answer is option 'D' - 13.5 hours.
- Ramesh can till his plot of land in 10 hours.
- Suresh can till a plot that is double the size of Ramesh's plot in 40 hours.
- Both of them decide to till another plot equal in size to Ramesh's plot together.
- They work alternately for 1 hour starting with Suresh.
To find:
How much time do they take to till the plot?
Step-by-step solution:
Let's assume that Ramesh's plot of land is x units and Suresh's plot of land is 2x units.
1. Determine the rate of work:
Ramesh's rate of work = 1 plot / 10 hours = 1/10 plot per hour
Suresh's rate of work = 1 plot / 40 hours = 1/40 plot per hour
Combined rate of work for both Ramesh and Suresh = (1/10 + 1/40) plot per hour = 1/8 plot per hour
2. Calculate the time taken for the combined work:
In the first hour, Suresh completes 1/40th of the plot, and in the second hour, Ramesh completes 1/10th of the plot.
So, in 2 hours, they together complete (1/40 + 1/10) = 1/8th of the plot.
3. Continue the pattern:
In the third hour, Suresh completes 1/40th of the plot, and in the fourth hour, Ramesh completes 1/10th of the plot.
So, in 4 hours, they together complete (1/40 + 1/10) = 1/8th of the plot.
4. Generalize the pattern:
From the above observation, we can see that for every 2 hours, they together complete 1/8th of the plot.
Therefore, for 8 hours, they will complete 4/8th = 1/2 of the plot.
5. Final calculation:
To complete the remaining 1/2 of the plot, they will require another 8 hours.
So, the total time taken to till the plot is 8 + 8 = 16 hours.
However, we need to consider that they work alternately for 1 hour starting with Suresh. Therefore, the actual time taken will be 1 hour less.
So, the final answer is 16 - 1 = 15 hours.
Hence, the correct answer is option 'D' - 13.5 hours.
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Ramesh can till his plot of land in 10 hours. Suresh can till a plot that is double the size of Ramesh’s plot in 40 hours. Both of them decide to till another plot equal in size to Ramesh’s plot together. They work alternately for 1 hour starting with Suresh. How much time do they take to till the plot?a)7 hoursb)12.5 hoursc)13 hoursd)13.5 hourse)14 hoursCorrect answer is option 'D'. Can you explain this answer?
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Ramesh can till his plot of land in 10 hours. Suresh can till a plot that is double the size of Ramesh’s plot in 40 hours. Both of them decide to till another plot equal in size to Ramesh’s plot together. They work alternately for 1 hour starting with Suresh. How much time do they take to till the plot?a)7 hoursb)12.5 hoursc)13 hoursd)13.5 hourse)14 hoursCorrect answer is option 'D'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Ramesh can till his plot of land in 10 hours. Suresh can till a plot that is double the size of Ramesh’s plot in 40 hours. Both of them decide to till another plot equal in size to Ramesh’s plot together. They work alternately for 1 hour starting with Suresh. How much time do they take to till the plot?a)7 hoursb)12.5 hoursc)13 hoursd)13.5 hourse)14 hoursCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ramesh can till his plot of land in 10 hours. Suresh can till a plot that is double the size of Ramesh’s plot in 40 hours. Both of them decide to till another plot equal in size to Ramesh’s plot together. They work alternately for 1 hour starting with Suresh. How much time do they take to till the plot?a)7 hoursb)12.5 hoursc)13 hoursd)13.5 hourse)14 hoursCorrect answer is option 'D'. Can you explain this answer?.
Ramesh can till his plot of land in 10 hours. Suresh can till a plot that is double the size of Ramesh’s plot in 40 hours. Both of them decide to till another plot equal in size to Ramesh’s plot together. They work alternately for 1 hour starting with Suresh. How much time do they take to till the plot?a)7 hoursb)12.5 hoursc)13 hoursd)13.5 hourse)14 hoursCorrect answer is option 'D'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Ramesh can till his plot of land in 10 hours. Suresh can till a plot that is double the size of Ramesh’s plot in 40 hours. Both of them decide to till another plot equal in size to Ramesh’s plot together. They work alternately for 1 hour starting with Suresh. How much time do they take to till the plot?a)7 hoursb)12.5 hoursc)13 hoursd)13.5 hourse)14 hoursCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ramesh can till his plot of land in 10 hours. Suresh can till a plot that is double the size of Ramesh’s plot in 40 hours. Both of them decide to till another plot equal in size to Ramesh’s plot together. They work alternately for 1 hour starting with Suresh. How much time do they take to till the plot?a)7 hoursb)12.5 hoursc)13 hoursd)13.5 hourse)14 hoursCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Ramesh can till his plot of land in 10 hours. Suresh can till a plot that is double the size of Ramesh’s plot in 40 hours. Both of them decide to till another plot equal in size to Ramesh’s plot together. They work alternately for 1 hour starting with Suresh. How much time do they take to till the plot?a)7 hoursb)12.5 hoursc)13 hoursd)13.5 hourse)14 hoursCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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