Question
3. If one railway carriage loads 75 Tons per time, how many carriages will they require to ca 1875 Tons? (2.0 Mark
Ask by Lane Williams. in Tanzania
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
They need 25 carriages to load 1875 tons.
Solution
To find out how many railway carriages are required to load 1875 tons, we can use the information that one railway carriage can load 75 tons per time.
Let's denote the number of carriages required as \( x \).
The total weight that needs to be loaded is 1875 tons.
Since one carriage can load 75 tons, the total weight that can be loaded by \( x \) carriages is \( 75x \) tons.
Therefore, we can set up the equation:
\[ 75x = 1875 \]
To find the value of \( x \), we can solve this equation.
Solve the equation by following steps:
- step0: Solve for \(x\):
\(75x=1875\)
- step1: Divide both sides:
\(\frac{75x}{75}=\frac{1875}{75}\)
- step2: Divide the numbers:
\(x=25\)
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Simplify this solution Beyond the Answer
To determine how many railway carriages are needed for 1875 tons, simply divide the total weight by the weight each carriage can hold. So, 1875 tons ÷ 75 tons per carriage equals 25 carriages. That means they'll need 25 carriages to transport all that weight efficiently! This kind of math is super handy in logistics and transportation management. For instance, if a business needs to transport goods, understanding capacity helps in planning the number of trips, reducing costs, and ensuring everything arrives on time. A little bit of number crunching can save tons (pun intended!) of resources!
