Atlanta and Cincinnati are 440 miles apart. John leaves Cincinnati for Atlanta while Pat leaves Atlanta for Cincinnati

atlanta-and-cincinna

#1

Atlanta and Cincinnati are 440 miles apart. John leaves Cincinnati for Atlanta while Pat leaves Atlanta for Cincinnati. John drives 32 mph faster than Pat. How fast is Pat driving if they pass each other in 5 hours?

Answer:

Let speed of John = X + 32 mph, pat = X mph
5hrs --> John’s distance from C is 5(X+32)
–> pat’s distance from A is 5X
Total distance = 440

5x + 160 + 5x = 440
10x = 280
X = 28
Therefore pay drives at a speed of 28 mph
John at a speed of 60 mph