Question

HALP MEEE:
It takes Lucas 3 hours to cycle from his home to his friend's village. But if he travels 5 mph slower, it will take him 1.5 hours longer. How far is the friend's village from Lucas' house?

Answer 1

Answer:

45 miles

Step-by-step explanation:

Let, the friend's village from Lucas' house is x miles away.

Now, It takes Lucas 3 hours to cycle from his home to his friend's village. But if he travels 5 mph slower, it will take him 1.5 hours longer.

So, we can write

$\frac{x}{\frac{x}{3} - 5} = 3 + 1.5 = 4.5$

⇒ x = 1.5x - 22.5

⇒ 0.5x = 22.5

⇒ x = 45 miles (Answer)