ah 200% more efficient than B file it takes 60 days less than B to finish the work in how many days will they finish the work together
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answer:
Step-by-step explanation:
question:
ah 200% more efficient than B file it takes 60 days less than B to finish the work in how many days will they finish the work together
lesson take 'n':
Let A takes ′n′ days to paint the room.
So B will take 3n days to paint the room.
⇒3n−n=60 or n=30
⇒A takes 30 days and B takes 90 days.
A & B will do 301+901=904=452 work in a day.
So,they will complete the work in 245=2221days.
Hence, option C is the correct answer.
A and B 40 days to finish the work together.
Given:
A is 200% more efficient than B. This means that A can do the work twice as fast as B. Therefore, A will take x/2 days to finish the work.
To Find:
A + B = ? (in days)
Solution:
Let's assume that B takes x days to finish the work.
According to the problem, A is 200% more efficient than B. This means that A can do the work twice as fast as B. Therefore, A will take x/2 days to finish the work.
The problem also states that A takes 60 days less than B to finish the work. This means that the time difference between A and B is 60 days. We can set up an equation to represent this:
x - (x/2) = 60
Simplifying this expression, we get:
x/2 = 60
Multiplying both sides by 2, we get:
x = 120
Therefore, B takes 120 days to finish the work.
To find out how long it will take for A and B to finish the work together, we can use the following formula:
1/T = 1/A + 1/B
where T is the time it takes for A and B to finish the work together.
Substituting the values we have found, we get:
1/T = 1/(x/2) + 1/x
1/T = 2/x + 1/x
1/T = 3/x
Multiplying both sides by x, we get:
x/T = 3
Dividing both sides by 3, we get:
T = x/3
Substituting x = 120, we get:
T = 120/3 = 40
Therefore, it will take A and B 40 days to finish the work together.
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