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A and B can build a certain wall in 20 days and 30 days respectively. In how many days can they together build two such walls?

Question

A and B can build a certain wall in 20 days and 30 days respectively. In how many days can they together build two such walls?

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Solution

To solve this problem, we first need to find out how much of the wall each person can build in one day.

  1. A can build the wall in 20 days, so A can build 1/20 of the wall in one day.
  2. B can build the wall in 30 days, so B can build 1/30 of the wall in one day.

When A and B work together, they can build (1/20 + 1/30) of the wall in one day.

To simplify this, we find a common denominator for 20 and 30, which is 60. So, we can rewrite the fractions as 3/60 for A and 2/60 for B.

So, A and B together can build (3/60 + 2/60) = 5/60 of the wall in one day.

This simplifies to 1/12 of the wall in one day.

Therefore, A and B together can build one wall in 12 days.

Since we want to know how long it will take them to build two walls, we simply multiply this by 2.

So, A and B together can build two walls in 12 * 2 = 24 days.

This problem has been solved

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