Question

An engine that has a 5% loss of power has an output of 209 hp. What is the input (base) horsepower of the engine?The input horsepower of the engine is ___ hp(Type an integer or a decimal.)

Answer 1

220 hp

Explanation:

Let the input horsepower of the engine = x

The engine has a 5​% loss of power, therefore, its output is:

`(100-5)\%\text{ of x}=95\%x=0.95x`

Given that the engine's output = 209 hp.

`0.95x=209`

Divide both sides by 0.95 to solve for x:

`\begin{gathered} (0.95x)/(0.95)=(209)/(0.95) \\ x=220\;hp \end{gathered}`

The input horsepower of the engine is 220 hp.