The design of a concrete mix requires the following materials per cubic meter:

- 1173 kg of gravel in dry condition
- 582 kg of sand in dry condition
- 157 kg of free water

The available materials at the job site have the following properties:

- Gravel has a moisture content of 0.8% and an absorption of 1.5%.
- Sand has a moisture content of 1.1% and an absorption of 1.3%.

What are the masses of gravel, sand, and water per cubic meter that should be used at the job site?

To determine the masses of gravel, sand, and water per cubic meter that should be used at the job site, we need to take into account the moisture content and absorption of the available materials.

First, let's calculate the mass of dry gravel required per cubic meter:

Mass of dry gravel = Required mass of gravel / (1 + (moisture content / 100)) = 1173 kg/m3 / (1 + (0.8 / 100))

Next, let's calculate the mass of dry sand required per cubic meter:

Mass of dry sand = Required mass of sand / (1 + (moisture content / 100)) = 582 kg/m3 / (1 + (1.1 / 100))

Finally, let's calculate the mass of water per cubic meter:

Mass of water = Required mass of water + (absorption / 100) * (mass of dry gravel + mass of dry sand)

= 157 kg/m3 + (1.5 / 100) * (Mass of dry gravel + mass of dry sand)

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