Thank you for the opportunity to help you with your question!
Distance = 128 miles
Let speed of the car leaving Vernonville be x mph
So the speed of the car that leaves Lewiston is (x + 10) mph
So their relative speed is x + x + 10 = (2x + 10); since they are travelling in opposite direction.
Time taken to meet = Distance / Relative Speed
T = 1 hr 36 min = 1.6 hr
1.6 = 128/(2x + 10)
1.6(2x + 10) = 128
3.2x + 16 =128
x = 35 mph
So the average speeds for the cars are 35 mp and 45 mph.
Please let me know if you need any clarification. I'm always happy to answer your questions.
15 Million Students Helped!
Sign up to view the full answer