Question

Horsepower developed by an engine varies directly as its displacement. How many horsepower will be developed by an engine with a displacement of 230 cu in. if a 360 cu in.engine of the same kind develops 210 hp?

Answer 1

Answer:

The horsepower developed by an engine with a displacement of 230cu is

$\frac{805}{6}\approx134.16$

Explanation:

This is a direct variation. This is, if two number x and y varies directly, then exist a number k such that:

$y=kx$

In this case, y is the horsepower and x is the displacement.

We know that for a displacement of 360cu, we get 210hp.

Then:

$210=k360$

Now we can solve:

$k=\frac{210}{360}=\frac{7}{12}$

The general form of this relationship is:

$Horsepower=\frac{7}{12}\cdot Displacement$

To find the horsepower that 230cu displacement get:

$Horsepower=\frac{7}{12}\cdot230=\frac{805}{6}\approx134.166$