[kiahaider]

Two cars that are 600km far a apart are moving towards each other. Their speeds differ by 6km per hour and the cars are 123km far apart after 4.5 hours. Find speed of each car

[teacherjenn4]

What have you done so far on this problem?

[khaakenajaf]

let x and y represents speed of two cars c1 and c2 respectively.
difference in speed of both cars is given by
x-y=6 (eq 1)
using formula
distance=speed * time
implies that speed=distance/time
time=4.5 hours
total distance covered=600 km-123 km=477 km
using variables x and y for speed, since cars are moving towards each other
4.5 hours*(x+y)=477 km
x+y=477/4.5
x+y=106 (eq 2)
adding eq1 and eq2
2x=112
=>x=56 km/hour
put value of x in eq1
56-y=6
y=50 km/hour