Question: Person went from A to B at an average speed of x km/h and returned from B to A at an average speed of y km/h. What was his average speed during the journey?
Options:
A) $ \frac{x+y}{2xy} $
B) $ \frac{2}{x+y} $
C) $ \frac{2xy}{x+y} $
D) $ \frac{1}{x}+\frac{1}{y} $
Show Answer
Answer:
Correct Answer: C
Solution:
- Average speed $ =\frac{Totaldistance}{Totaltime} $
$ =\frac{2}{\frac{1}{x}+\frac{1}{y}}=\frac{2}{\frac{x+y}{xy}}=\frac{2xy}{x+y} $