## Task 1 - 150511

In 1974, 187 ships of the GDR merchant fleet achieved a total transport performance of 1,080,000 tons.

Calculate, for illustration of this performance, the length a freight train would need to have to achieve the same transport performance!

Assume that this train consists of freight cars with a carrying capacity of 25 tons each and that each of these cars (including the coupling device) has a length of 12 meters.

How many freight trains, each consisting of 60 such freight cars, would have had to run daily in 1974 to achieve the same transport performance (the year is assumed to have 360 days)?
The freight train consists of $10800000 \mathrm{t} : 25 \mathrm{t} = 432000$ freight cars, which are thus $432000 \cdot 12 \mathrm{~m} = 5184000$ $\mathrm{m} = 5184 \mathrm{~km}$ long.

Every day, $10800000 \mathrm{t} : 360 = 30000 \mathrm{t}$ would have had to be transported. A train with 60 freight cars, each with a capacity of $25 \mathrm{t}$, transports $60 \cdot 25 \mathrm{t} = 1500 \mathrm{t}$. Consequently, $30000 \mathrm{t} : 1500 \mathrm{t} = 20$ such trains would have to run daily to achieve the performance of the merchant ships.