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P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?
- a)9(3/5)
- b)9(1/5)
- c)9(2/5)
- d)10 days
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
P can lay railway track between two stations in 16 days. Q can do the ...
Amount of work P can do in 1 day = 1/16
Amount of work Q can do in 1 day = 1/12
Amount of work P, Q and R can together do in 1 day = 1/4
Amount of work R can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 – 1/12 = 5/48
=> Hence R can do the job on 48/5 days = 9 (3/5) days
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Most Upvoted Answer
P can lay railway track between two stations in 16 days. Q can do the ...
Given data:
- P can lay railway track in 16 days
- Q can lay railway track in 12 days
- P, Q, and R together can complete the job in 4 days
Calculating the work done by each person per day:
- P's work per day = 1/16
- Q's work per day = 1/12
- Combined work of P, Q, and R per day = 1/4
Calculating R's work per day:
- Combined work of P, Q, and R per day = P's work per day + Q's work per day + R's work per day
- 1/4 = 1/16 + 1/12 + R's work per day
- R's work per day = 1/4 - 1/16 - 1/12
- R's work per day = 3/48 - 4/48 - 4/48
- R's work per day = -5/48
Calculating the number of days R alone would take to complete the work:
- R's work per day = -5/48
- Therefore, R would take 48/5 days to complete the work alone
- 48/5 = 9(3/5) days
Therefore, it would take R alone 9(3/5) days to complete the work. Hence, option A is the correct answer.
- P can lay railway track in 16 days
- Q can lay railway track in 12 days
- P, Q, and R together can complete the job in 4 days
Calculating the work done by each person per day:
- P's work per day = 1/16
- Q's work per day = 1/12
- Combined work of P, Q, and R per day = 1/4
Calculating R's work per day:
- Combined work of P, Q, and R per day = P's work per day + Q's work per day + R's work per day
- 1/4 = 1/16 + 1/12 + R's work per day
- R's work per day = 1/4 - 1/16 - 1/12
- R's work per day = 3/48 - 4/48 - 4/48
- R's work per day = -5/48
Calculating the number of days R alone would take to complete the work:
- R's work per day = -5/48
- Therefore, R would take 48/5 days to complete the work alone
- 48/5 = 9(3/5) days
Therefore, it would take R alone 9(3/5) days to complete the work. Hence, option A is the correct answer.
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P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?a)9(3/5)b)9(1/5)c)9(2/5)d)10 daysCorrect answer is option 'A'. Can you explain this answer?
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