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A can do a work in 15 days and B in 30 days. If they work on it together, then in how many days will they be able to do 50% of the work?
- a)5
- b)6
- c)4
- d)3
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A can do a work in 15 days and B in 30 days. If they work on it togeth...
Given:
A can complete the work in 15 days.
B can complete the work in 30 days.
Let's assume the total work to be done is 100 units.
A's work rate:
A can complete 100 units of work in 15 days.
So, A's work rate = 100 units / 15 days = 6.67 units/day.
B's work rate:
B can complete 100 units of work in 30 days.
So, B's work rate = 100 units / 30 days = 3.33 units/day.
Working together:
When A and B work together, their combined work rate is the sum of their individual work rates.
Combined work rate = A's work rate + B's work rate = 6.67 units/day + 3.33 units/day = 10 units/day.
To find the number of days required to complete 50% of the work, we can use the formula:
Number of days = Total work / Combined work rate.
Number of days = 50 units / 10 units/day = 5 days.
Hence, the correct answer is option A) 5.
A can complete the work in 15 days.
B can complete the work in 30 days.
Let's assume the total work to be done is 100 units.
A's work rate:
A can complete 100 units of work in 15 days.
So, A's work rate = 100 units / 15 days = 6.67 units/day.
B's work rate:
B can complete 100 units of work in 30 days.
So, B's work rate = 100 units / 30 days = 3.33 units/day.
Working together:
When A and B work together, their combined work rate is the sum of their individual work rates.
Combined work rate = A's work rate + B's work rate = 6.67 units/day + 3.33 units/day = 10 units/day.
To find the number of days required to complete 50% of the work, we can use the formula:
Number of days = Total work / Combined work rate.
Number of days = 50 units / 10 units/day = 5 days.
Hence, the correct answer is option A) 5.
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Community Answer
A can do a work in 15 days and B in 30 days. If they work on it togeth...
Let total work = L.C.M of 15&30 = 30units
A's efficiency = 30/15 = 2
B's efficiency = 30/30 = 1
To complete 50% of work, i.e; 15 units of work,
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