Problem: A person travels between A to B at 9 miles per hour and returns from B to A at 15 miles per hour. He took 8 hours for the journey. What is the distance between A & B?
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Correct Answer: The distance between A and B is 45 miles.
Explanation:
Let, the distance between A and B in x km
A person travels 9 miles for = 1 hour
A person travels x miles for = $\frac{x}{9}$ hour
He returns from B to A at 15 miles for = 1 hour
He returns from B to A at x miles for =$\frac{x}{15}$ hour
According to the question, $\frac{x}{9}$ +$\frac{x}{15}$ =8
=> 8x = 360
So, x = 45