# The moon is approximately 400,000 kilometers from Earth. The moon gets approximately 40...

## Question:

The moon is approximately 400,000 kilometers from Earth. The moon gets approximately 40 millimeters farther away from the earth every year.

In approximately how many years will the moon be twice as far from the Earth as it is now, assuming that nothing else changes?

## Algebra Word Problems:

Solving word problems most of the time requires us to be able to write an equation based on a given set of conditions or situations in order to arrive with the answer or value that we are asked to find. This involves understanding and being able to translate the given problem into a series of operations in order to come up with the working equation.

## Answer and Explanation:

We are asked to find how long it will take for the moon to be twice as far from the Earth as it is now. This means that the distance that the moon...

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View this answerWe are asked to find how long it will take for the moon to be twice as far from the Earth as it is now. This means that the distance that the moon still needs to cover is equal to its distance with the Earth as of the moment. We can express this problem through the following equation:

{eq}D_{now} = rt {/eq}

where {eq}D_{now} {/eq} corresponds to how far the moon is from the Earth at the moment, {eq}r {/eq} the rate at which it moves farther away and {eq}t {/eq} is the time in years. Substituting our values:

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