Laura will take [tex]\frac{1}{4}[/tex] hour or 15 minutes to catch up with Tony.
Explanation
Distance between Tony and Laura is [tex]\frac{1}{2}[/tex] miles and the difference of their speeds = (7 - 5 ) mph = 2 mph
For catching up with Tony, Laura needs to travel that [tex]\frac{1}{2}[/tex] miles with the speed of 2 mph
As, Distance = speed × time
So, [tex]\frac{1}{2}[/tex] = 2 × t
⇒ t = [tex]\frac{\frac{1}{2}}{2} = \frac{1}{4}[/tex] hour = [tex]\frac{1}{4}[/tex] × 60 minutes = 15 minutes
That means, Laura will take [tex]\frac{1}{4}[/tex] hour or 15 minutes to catch up with Tony.
