Interview Preparation Exam > Interview Preparation Questions > A and B complete a work in 6 days. A alone ca...
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A and B complete a work in 6 days. A alone can do it in 10 days. then B alone will do it in how many days?
- a)15 days
- b)8 days
- c)12 days
- d)14 days
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A and B complete a work in 6 days. A alone can do it in 10 days.then B...
Given:
Time taken by A and B = 6 days
Time taken by A = 10 days
Formula used:
Total work = Time taken × Efficiency
Calculation:
L.C.M of (6 and 10) = 30 = Total work
Efficiency of A and B = 30/6 = 5 units/day
Efficiency of B = 30/10 = 3 units/day
Efficiency of B = (5 – 3) units/day
⇒ 2 units/day
Time taken by B = 30/2 days
⇒ 15 days
∴ B will complete the work in 15 days
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Community Answer
A and B complete a work in 6 days. A alone can do it in 10 days.then B...
Given Data:
A and B complete a work in 6 days.
A alone can do it in 10 days.
Let's calculate the work efficiency of A and B:
Let the total work be 60 units (since A alone can complete it in 10 days).
A's work efficiency = 60 units / 10 days = 6 units per day
Since A and B together complete the work in 6 days,
A and B's combined work efficiency = 60 units / 6 days = 10 units per day
Now, if we subtract A's work efficiency from the combined efficiency of A and B, we get B's work efficiency:
B's work efficiency = 10 units per day - 6 units per day = 4 units per day
Time taken when both work together:
Now that we know A's efficiency is 6 units per day and B's efficiency is 4 units per day, the total efficiency when they work together is 10 units per day.
Therefore, the time taken for both A and B to complete the work together is:
Total work / Combined efficiency = 60 units / 10 units per day = 6 days
Therefore, when A and B work together, they can complete the work in 6 days.
Final Answer:
Therefore, the correct option is (a) 3.75 days.
A and B complete a work in 6 days.
A alone can do it in 10 days.
Let's calculate the work efficiency of A and B:
Let the total work be 60 units (since A alone can complete it in 10 days).
A's work efficiency = 60 units / 10 days = 6 units per day
Since A and B together complete the work in 6 days,
A and B's combined work efficiency = 60 units / 6 days = 10 units per day
Now, if we subtract A's work efficiency from the combined efficiency of A and B, we get B's work efficiency:
B's work efficiency = 10 units per day - 6 units per day = 4 units per day
Time taken when both work together:
Now that we know A's efficiency is 6 units per day and B's efficiency is 4 units per day, the total efficiency when they work together is 10 units per day.
Therefore, the time taken for both A and B to complete the work together is:
Total work / Combined efficiency = 60 units / 10 units per day = 6 days
Therefore, when A and B work together, they can complete the work in 6 days.
Final Answer:
Therefore, the correct option is (a) 3.75 days.
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A and B complete a work in 6 days. A alone can do it in 10 days.then B alone will do it in how many days?a)15 daysb)8 daysc)12 daysd)14 daysCorrect answer is option 'A'. Can you explain this answer?
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