Answer:
Yoni will catch Traci after 20 minutes.
Step-by-step explanation:
Let Yoni will catch traci after t minutes.
The speed of Traci is [tex]\frac{1}{10}[/tex] miles per minute.
The speed of Yoni is [tex]\frac{1}{5}[/tex] miles per minute.
Yoni run for t minutes, so distance covered by Yoni in t minutes is
[tex]\frac{1}{5}\times t=0.2t[/tex]
Traci run for (t+20) minutes, so distance covered by Traci in (t+20) minutes is
[tex]\frac{1}{10}\times (t+20)=0.1(t+20)[/tex]
Yoni will catch traci, if
[tex]0.2t=0.1(t+20)[/tex]
[tex]0.2t=0.1t+2[/tex]
[tex]0.2t-0.1t=2[/tex]
[tex]0.1t=2[/tex]
Multiply both sides by 10.
[tex]t=20[/tex]
Therefore, Yoni will catch Traci after 20 minutes.
