The mass of one meter of rail is 32 kg, how many wagons with a carrying capacity of 60 tons will be needed to move all the rails necessary for the construction of a 180 km long railway?
First, you need to express kilometers in meters. We get:
180 (km) = 1800 (m);
Let’s find how much the rails will weigh. To do this, we multiply the length of the rails by the weight of one meter of the rail.
1800 * 32 = 57 600 (kg);
But the railroad consists of two rows of rails, so multiply the result by 2:
57 600 * 2 = 115 200 (kg);
Now let’s express kilograms in tons. To do this, divide the weight in kilograms by 1000. We get:
115 200 (kg) = 1152 (t);
Now, in order to find the number of necessary cars, we divide the total weight by the carrying capacity of one car.
1152: 60 = 19.2
You need to round up the number to a larger integer. And we get 20.
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