Answer:
12:05 PM
Step-by-step explanation:
Priya started at 9:00 AM.
Speed of Priya = 6 km/hr
Joe started at 9:30 AM.
Time at which Joe overtakes Priya = 10:20 AM
Total time taken by Priya = 1 hour 20 min = [tex]\frac{4}{3}\ hr[/tex]
Total time taken by Joe = 50 min = [tex]\frac{5}{6}\ hr[/tex]
Distance traveled by Priya and Joe is same.
Formula for distance is:
[tex]Distance =Speed\times Time[/tex]
Distance covered by Priya = [tex]6 \times \frac{4}{3}[/tex] km
Let speed of Joe = [tex]S[/tex] km/h
Distance covered by Joe = [tex]S \times \frac{5}{6}[/tex]
[tex]S \times \dfrac{5}{6} = 6 \times \dfrac{4}{3}\\\Rightarrow S =\dfrac{48}{5}\ km/hr[/tex]
Total distance to be covered = 16.8 km
Total time to be taken by Joe =
[tex]\dfrac{16.8}{\frac{48}5} = \dfrac{16.8\times 5}{48} = \dfrac{84}{48} = 1.75\ hours[/tex]
1.75 hours mean 1 hour and 45 minutes.
Finishing time at which Joe finishes = 9:30 AM + 1 hour 45 minutes = 12:05 PM
