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Inverse Proportion Problems

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Inverse proportion is to do with the rate at which one quantity increases as the other decreases.

The key to answering these problems is to consider 1 unit.

**Example**

2 builders take 6 days to build a wall. How long would it take 5 builders to build a similar wall?

**Answer**

We need to consider 1 unit (i.e. 1 builder).

It would take 1 builder 2 times as long as it would take 2 builders.

So it would take 1 builder 12 days to build the same wall.

As the number of builders increases, so the time taken to complete the job decreases in inverse proportion.

So 5 builders take one fifth of the time it takes 1 builder.

It takes 5 builders 12 ÷ 5 = **2.4 days.**

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