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Ram and shyam can do a piece of work in 5 and 7 days respectively. They start working alternatively starting from shyam, then in how many days the work is completed
- a)5.(3/7) days
- b)6.(5/7) days
- c)7.(5/6) days
- d)5.(6/7) days
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Ram and shyam can do a piece of work in 5 and 7 days respectively. The...
1/7 + 1/5 = 12/35 this much work is completed in 2 days.
So 24/35 will be completed in 4 days
In the next day, 29/35 work get completed in 5 days, so remaining work will be completed by Ram in 6/7 days
So 24/35 will be completed in 4 days
In the next day, 29/35 work get completed in 5 days, so remaining work will be completed by Ram in 6/7 days
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Ram and shyam can do a piece of work in 5 and 7 days respectively. The...
Let's solve this problem step by step.
Step 1: Find the work done by Ram and Shyam in one day
Ram can do the work in 5 days, so in one day, he can do 1/5th of the work. Similarly, Shyam can do the work in 7 days, so in one day, he can do 1/7th of the work.
Step 2: Calculate the total work
To find the total work, we need to calculate the least common multiple (LCM) of 5 and 7. The LCM of 5 and 7 is 35. Therefore, the total work is 35 units.
Step 3: Calculate the work done in each cycle
Since Ram and Shyam work alternatively, each cycle consists of Ram working for one day and Shyam working for one day. In each cycle, the work done is 1/5 + 1/7 = 12/35.
Step 4: Calculate the number of cycles required to complete the work
To calculate the number of cycles required, we divide the total work by the work done in each cycle:
Number of cycles = Total work / Work done in each cycle
Number of cycles = 35 / (12/35) = 35 * (35/12) = 25.83
Step 5: Calculate the remaining work
Since the number of cycles cannot be a fraction, we take the next highest integer, which is 26. So, after 26 cycles, the work completed is 26 * (12/35) = 8.8 units.
Step 6: Calculate the remaining work to be done
The remaining work to be done is the total work minus the work completed:
Remaining work = Total work - Work completed
Remaining work = 35 - 8.8 = 26.2 units
Step 7: Calculate the time taken to complete the remaining work
Since Ram and Shyam work alternatively, Ram will do the remaining work. Since Ram can do 1/5th of the work in one day, the time taken to complete the remaining work is:
Time taken = Remaining work / Ram's work rate
Time taken = 26.2 / (1/5) = 26.2 * 5 = 131 days
Therefore, the work is completed in 26 cycles (alternating between Ram and Shyam) plus the additional 131 days taken by Ram, resulting in a total of 26 + 131 = 157 days.
Step 1: Find the work done by Ram and Shyam in one day
Ram can do the work in 5 days, so in one day, he can do 1/5th of the work. Similarly, Shyam can do the work in 7 days, so in one day, he can do 1/7th of the work.
Step 2: Calculate the total work
To find the total work, we need to calculate the least common multiple (LCM) of 5 and 7. The LCM of 5 and 7 is 35. Therefore, the total work is 35 units.
Step 3: Calculate the work done in each cycle
Since Ram and Shyam work alternatively, each cycle consists of Ram working for one day and Shyam working for one day. In each cycle, the work done is 1/5 + 1/7 = 12/35.
Step 4: Calculate the number of cycles required to complete the work
To calculate the number of cycles required, we divide the total work by the work done in each cycle:
Number of cycles = Total work / Work done in each cycle
Number of cycles = 35 / (12/35) = 35 * (35/12) = 25.83
Step 5: Calculate the remaining work
Since the number of cycles cannot be a fraction, we take the next highest integer, which is 26. So, after 26 cycles, the work completed is 26 * (12/35) = 8.8 units.
Step 6: Calculate the remaining work to be done
The remaining work to be done is the total work minus the work completed:
Remaining work = Total work - Work completed
Remaining work = 35 - 8.8 = 26.2 units
Step 7: Calculate the time taken to complete the remaining work
Since Ram and Shyam work alternatively, Ram will do the remaining work. Since Ram can do 1/5th of the work in one day, the time taken to complete the remaining work is:
Time taken = Remaining work / Ram's work rate
Time taken = 26.2 / (1/5) = 26.2 * 5 = 131 days
Therefore, the work is completed in 26 cycles (alternating between Ram and Shyam) plus the additional 131 days taken by Ram, resulting in a total of 26 + 131 = 157 days.
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Ram and shyam can do a piece of work in 5 and 7 days respectively. They start working alternatively starting from shyam, then in how many days the work is completeda)5.(3/7) daysb)6.(5/7) daysc)7.(5/6) daysd)5.(6/7) dayse)None of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Ram and shyam can do a piece of work in 5 and 7 days respectively. They start working alternatively starting from shyam, then in how many days the work is completeda)5.(3/7) daysb)6.(5/7) daysc)7.(5/6) daysd)5.(6/7) dayse)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram and shyam can do a piece of work in 5 and 7 days respectively. They start working alternatively starting from shyam, then in how many days the work is completeda)5.(3/7) daysb)6.(5/7) daysc)7.(5/6) daysd)5.(6/7) dayse)None of theseCorrect answer is option 'D'. Can you explain this answer?.
Ram and shyam can do a piece of work in 5 and 7 days respectively. They start working alternatively starting from shyam, then in how many days the work is completeda)5.(3/7) daysb)6.(5/7) daysc)7.(5/6) daysd)5.(6/7) dayse)None of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Ram and shyam can do a piece of work in 5 and 7 days respectively. They start working alternatively starting from shyam, then in how many days the work is completeda)5.(3/7) daysb)6.(5/7) daysc)7.(5/6) daysd)5.(6/7) dayse)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ram and shyam can do a piece of work in 5 and 7 days respectively. They start working alternatively starting from shyam, then in how many days the work is completeda)5.(3/7) daysb)6.(5/7) daysc)7.(5/6) daysd)5.(6/7) dayse)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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