Problem: A man’s running speed is 3 times of his walking speed. The man a distance and comes back walking total time taken by him is 2 hours. What is the distance in miles if he runs 9 miles per hours?
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Correct Answer: The distance in miles if he runs 9 miles per hours is 4.5 miles.
Explanation:
Given, Man’s running speed = 9 miles/hour
Man’s walking speed = $\frac{9}{3}$ = 3 miles/hour
Given, Total time taken by the man to complete the journey is 2 hours.
Let, total distance covered by the man is x miles.
According to question,
$\frac{x}{9}+\frac{x}{3}$ = 2
=> $\frac{x+3x}{9}$ = 2
=> 4x = 18
=> x = $\frac{18}{4}$
x=4.5
Distance covered by the man is 4.5 miles.