Answer:
7 miles and 6 miles respectively.
Step-by-step explanation:
For me,
Distance = 0.5 miles,
Time = 3 minutes,
So, pace = \(\frac{Time}{Distance}\) = \(\frac{3}{0.5}\) = 6 minute per miles,
That is, I am running 1 mile in 6 minutes.
For my friend,
Distance = 2 miles,
Time = 14 minutes,
So, pace = \(\frac{14}{2}\) = 14 minutes per mile,
That is, my friend is running 1 mile in 7 minutes,
Thus, the time after we will meet = LCM(6,7) = 42 minutes,
Also, my speed = \(\frac{Distance}{Time}\)
\(=\frac{0.5}{3}\)
\(=\frac{1}{6}\) miles per minute,
Similarly my friend's speed = \(\frac{2}{14}\) = \(\frac{1}{7}\) miles per minute,
In 42 minutes,
Distance covered by me = \(\frac{1}{6}\times 42\) = 7 miles,
Distance covered by my friend = \(\frac{1}{7}\times 42\) = 6 miles.
