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A person can complete 20% of work in 8 days and another person y can complete 25% of the same work in 6 days. If they work together, in how many days will 40% of the work be completed?
- a)6
- b)8
- c)10
- d)12
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A person can complete 20% of work in 8 days and another person y can c...
Given : A person X can complete 20% of work in 8 days and another person Y can complete 25% of the same work in 6 days.
To Find : they work together, in how many days will 40% of the work be
completed
Solution:
Let say Work = 100W
A person X can complete 20% of work in 8 days
person X can complete work in 8 Days = (20/100)100W = 20W
=> person X can complete work in 1 Day = 20W/8 = 5W/2
A person Y can complete 25% of work in 6 days
person Y can complete work in 6 Days = (25/100)100W = 25W
=> person Y can complete work in 1 Day = 25W/6
Person X and Person Y together 1 Day work = 5W/2 + 25W/6
= ( 15W + 25W)/6
= 40W/6
40% of the work = (40/100)100W = 40W
Number of Days = 40W/(40W/6) = 6 Days
together, in 6 days 40% of the work be completed
Most Upvoted Answer
A person can complete 20% of work in 8 days and another person y can c...
Given:
- Person A can complete 20% of work in 8 days
- Person B can complete 25% of work in 6 days
To find:
- In how many days will 40% of the work be completed if they work together?
Solution:
Let's assume the total work to be done as "100%".
Person A completes 20% of work in 8 days, so the work done by A in 1 day = 20/8 = 2.5%
Person B completes 25% of work in 6 days, so the work done by B in 1 day = 25/6 = 4.16%
When A and B work together, the work done by them in 1 day = (2.5 + 4.16) = 6.66%
Let "d" be the number of days taken to complete 40% of work by A and B working together.
Total work done in "d" days by A and B working together = 6.66d
As they complete 40% of work in "d" days, the total work done in "d" days = 40% = 40
Therefore, we can form an equation as follows:
6.66d = 40
Solving for "d", we get:
d = 40/6.66 = 6
Therefore, 40% of the work will be completed in 6 days if A and B work together.
Answer: Option (A)
- Person A can complete 20% of work in 8 days
- Person B can complete 25% of work in 6 days
To find:
- In how many days will 40% of the work be completed if they work together?
Solution:
Let's assume the total work to be done as "100%".
Person A completes 20% of work in 8 days, so the work done by A in 1 day = 20/8 = 2.5%
Person B completes 25% of work in 6 days, so the work done by B in 1 day = 25/6 = 4.16%
When A and B work together, the work done by them in 1 day = (2.5 + 4.16) = 6.66%
Let "d" be the number of days taken to complete 40% of work by A and B working together.
Total work done in "d" days by A and B working together = 6.66d
As they complete 40% of work in "d" days, the total work done in "d" days = 40% = 40
Therefore, we can form an equation as follows:
6.66d = 40
Solving for "d", we get:
d = 40/6.66 = 6
Therefore, 40% of the work will be completed in 6 days if A and B work together.
Answer: Option (A)
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Community Answer
A person can complete 20% of work in 8 days and another person y can c...
A 40 3 120
B 24 5 120
so work now is 48/8=6
B 24 5 120
so work now is 48/8=6
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A person can complete 20% of work in 8 days and another person y can complete 25% of the same work in 6 days. If they work together, in how many days will 40% of the work be completed?a)6b)8c)10d)12Correct answer is option 'A'. Can you explain this answer?
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