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

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

`(805)/(6)\approx134.16`

Step-by-step 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=(210)/(360)=(7)/(12)`

The general form of this relationship is:

`Horsepower=(7)/(12)\cdot Displacement`

To find the horsepower that 230cu displacement get:

`Horsepower=(7)/(12)\cdot230=(805)/(6)\approx134.166`