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

Answer:

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:

$\begin{gathered} \frac{0.95x}{0.95}=\frac{209}{0.95} \\ x=220\;hp \end{gathered}$

The input horsepower of the engine is 220 hp.