## Question

Suppose that a given road has a maximum load of 20 tons per axle on a given vehicle. Suppose a truck has 16 wheels, with four wheels per axle, and weighs 14 tons. What is the maximum weight in kilograms that this truck can carry on a given road?

Let x is maximum number of weight in kilograms that truck can carry, then it can carry x/1000 tons.

Since truck weighs 14 tons then its maximum weight is x/1000+14.

From another side each axle can handle 20 tons and since there are 16/4=4 axles then maximum weight truck can carry is 20*4.

So,

x/1000+14=20*4.

Solving this we obtain that x/1000=66 or x=66000.

Answer, truck can carry 66000 kilograms.