Answer:
5 P.M.
Step-by-step explanation:
Distance= 345 miles.
Patty´s speed= 45 mph, started at 12 (noon)
Toby´s speed= 60 mph, started at 3 P.M.
∵ Patty have started 3 hour early at 12 noon.
∴ Patty have travelled (distance) = [tex]Speed\times time[/tex]
= [tex]45\times 3= 135\ miles[/tex]
Patty have already travelled 135 miles in 3 hours.
Remaining distance to be travelled by Patty and Toby= [tex]345 - 135= 210\ miles[/tex]
Remaining distance = 210 miles
Now, At 3 PM Toby have also started.
∴ Taking relative speed of Patty and toby= [tex](45+60)= 105\ mph[/tex]
Next, finding time taken to meet each other.
[tex]Time= \frac{Distance}{Speed}[/tex]
Time= [tex]\frac{210}{105} = 2\ h[/tex]
∴ After 2 hours they both meet each other, which is 5 P.M.
