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If Ram and Shyam work together on cutting vegetables, how much time will they take if Ram takes 1 hour and Shyam takes 1.5 hours to cut the same quantity alone?
  • a)
    36 minutes
  • b)
    1 hour 30 minutes
  • c)
    1 hour
  • d)
    45 minutes
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If Ram and Shyam work together on cutting vegetables, how much time wi...
Understanding the Problem
Ram and Shyam are working together to cut vegetables, and we need to determine how long they will take collectively.
Individual Work Rates
- Ram's Time: 1 hour to complete the task alone.
- Shyam's Time: 1.5 hours to complete the task alone.
Calculating Work Rates
- Ram's Work Rate:
- In 1 hour, Ram completes 1 task.
- Therefore, his work rate is 1 task/hour.
- Shyam's Work Rate:
- In 1.5 hours, Shyam completes 1 task.
- His work rate can be calculated as:
- 1 task / 1.5 hours = 2/3 tasks/hour.
Combined Work Rate
- To find the combined rate when they work together, we simply add their individual rates:
- Combined Work Rate = Ram's Work Rate + Shyam's Work Rate
- = 1 task/hour + 2/3 tasks/hour
- = 3/3 + 2/3 = 5/3 tasks/hour.
Time Taken to Complete the Task
- To find the time taken to complete 1 task together, we use the formula:
- Time = 1 task / Combined Work Rate
- = 1 / (5/3) = 3/5 hours.
- Converting 3/5 hours into minutes:
- 3/5 hours = 3/5 * 60 minutes = 36 minutes.
Conclusion
Therefore, when Ram and Shyam work together, they will take 36 minutes to cut the vegetables, which corresponds to option 'A'.
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Community Answer
If Ram and Shyam work together on cutting vegetables, how much time wi...
Ram's rate = 1 job per 1 hour = 1 job/hr. Shyam's rate = 1 job per 1.5 hours = 1 / 1.5 = 2/3 job/hr.
Combined rate = 1 + 2/3 = 5/3 job/hr.
Time = 1 job ÷ (5/3 job/hr) = 3/5 hr.
Convert to minutes: (3/5)×60 = 36 minutes. Hence they take 36 minutes.
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If Ram and Shyam work together on cutting vegetables, how much time will they take if Ram takes 1 hour and Shyam takes 1.5 hours to cut the same quantity alone?a)36 minutesb)1 hour 30 minutesc)1 hourd)45 minutesCorrect answer is option 'A'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If Ram and Shyam work together on cutting vegetables, how much time will they take if Ram takes 1 hour and Shyam takes 1.5 hours to cut the same quantity alone?a)36 minutesb)1 hour 30 minutesc)1 hourd)45 minutesCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If Ram and Shyam work together on cutting vegetables, how much time will they take if Ram takes 1 hour and Shyam takes 1.5 hours to cut the same quantity alone?a)36 minutesb)1 hour 30 minutesc)1 hourd)45 minutesCorrect answer is option 'A'. Can you explain this answer?.
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