A pole of height is a 3m is struck by a speeding car and breaks into two pieces such that the first piece is 1/2 second find the length of both pieces.
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This question is saying find length of both pieces not one piece and the answer is 1 m and 2 m
To find the length of both pieces of the pole, we need to use the information given in the question. The height of the pole is 3m, and it breaks into two pieces such that the first piece is 1/2 of the whole.
Let's denote the length of the first piece as x. Since the first piece is 1/2 of the whole, the length of the second piece would be the remaining length, which is (3 - x).
According to the question, the first piece is 1/2 second, so we can write the following equation:
x = (1/2) * (3 - x)
Let's solve this equation to obtain the lengths of both pieces:
Multiplying both sides of the equation by 2, we have:
2x = 3 - x
Now, let's isolate the variable x by adding x to both sides of the equation:
2x + x = 3
Combining like terms:
3x = 3
Dividing both sides by 3:
x = 1
Therefore, the length of the first piece is 1m. We can find the length of the second piece by subtracting 1m from the total height of the pole:
3 - x = 3 - 1 = 2
So, the length of the second piece is 2m.
Hence, the lengths of both pieces are 1m and 2m respectively.
first piece --- x m
2nd piece --- (1/2)x m
x + (1/2)x = 3
double each term
2x + x = 6
3x = 6
x = 2
state the conclusion