The weight of one meter of rail is 32kg. How many railway cars with a carrying capacity of 60 tons will be needed

The weight of one meter of rail is 32kg. How many railway cars with a carrying capacity of 60 tons will be needed to transport all the rails necessary for the construction of a 180 km long single-track railroad?

The mass of one meter of a rail is 32 kilograms, by convention. The railway carriage has a carrying capacity of 60 tons. It is necessary to build 180 kilometers of the railway.

First, let’s write down the unit conversion:

1 kilometer = 1000 meters.

This means 180 kilometers = 180,000 meters.

1 ton = 1000 kilograms.

This means 60 tons = 60,000 kilograms.

Now, knowing the units of measurement we need, let’s calculate the mass of all rails for this railroad:

180,000 * 32 = 5760000 (kg) – the mass of a rail for a railway 180 km.

And now we will distribute this mass among the railway cars:

5760000: 60,000 = 96.3 (wagons) – wagons will be required to transport this rail mass.

But since we cannot have a non-integer number of cars, we round up to integers, but since if we take 96 cars, then the rails will still remain, but if we take 97, then 1 car, of course, will be incomplete, but that’s all. the rails will be transported.

Answer: 97 cars.