Question
The combined length of two water pipes is 88.4 centimeters. One pipe is 38 millimeters longer than the other pipe. What is the length of the shorter water pipe?
A. 46.1 cm
B. 44.2 cm
C. 43.2 cm
D. 42.3 cm
A. 46.1 cm
B. 44.2 cm
C. 43.2 cm
D. 42.3 cm
Answers
GPT-4o mini
Let's denote the length of the shorter water pipe as \( x \) centimeters. According to the problem, the length of the longer water pipe is \( x + 3.8 \) centimeters (since 38 millimeters is equal to 3.8 centimeters).
The combined length of the two pipes is given as 88.4 centimeters. We can set up the following equation:
\[
x + (x + 3.8) = 88.4
\]
Combining the terms:
\[
2x + 3.8 = 88.4
\]
Now, subtract 3.8 from both sides:
\[
2x = 88.4 - 3.8
\]
\[
2x = 84.6
\]
Next, divide both sides by 2 to solve for \( x \):
\[
x = \frac{84.6}{2} = 42.3
\]
Thus, the length of the shorter water pipe is \( 42.3 \) centimeters.
Therefore, the answer is:
**D. 42.3 cm**.
The combined length of the two pipes is given as 88.4 centimeters. We can set up the following equation:
\[
x + (x + 3.8) = 88.4
\]
Combining the terms:
\[
2x + 3.8 = 88.4
\]
Now, subtract 3.8 from both sides:
\[
2x = 88.4 - 3.8
\]
\[
2x = 84.6
\]
Next, divide both sides by 2 to solve for \( x \):
\[
x = \frac{84.6}{2} = 42.3
\]
Thus, the length of the shorter water pipe is \( 42.3 \) centimeters.
Therefore, the answer is:
**D. 42.3 cm**.