Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 13 2 pts if an engine develops 125 hp at 90% power, what hp wo…

Question

question 13 2 pts if an engine develops 125 hp at 90% power, what hp would be developed at 75%? (nearest whole number)

Explanation:

Step1: Find the full - power of the engine

Let the full - power of the engine be $x$ hp. We know that $90\%$ of $x$ is $125$ hp. So, $0.9x = 125$. Then $x=\frac{125}{0.9}=\frac{1250}{9}$ hp.

Step2: Calculate the power at 75%

The power at $75\%$ is $0.75x$. Substitute $x = \frac{1250}{9}$ into the formula: $0.75\times\frac{1250}{9}=\frac{3}{4}\times\frac{1250}{9}=\frac{1250}{12}\approx104$ hp.

Answer:

104