Car A starts in Sacramento at 11am. It travels along a 400 mile route to Los Angeles at 40 mph. Car B starts from Los Angeles at noon and travels to Sacramento along the same route at 75 mph. The route goes past Fresno which is 150 miles along the route from Los Angeles. How far from Fresno are the cars when they meet?

Distance from Fresno where both cars meet = 210 - 150 = 60 miles

Step-by-step explanation:

let x = distance travelled by A from Sacramento

y = distance travelled by B from Los Angeles

t = time after 12 noon that they meet

x = 50 (t + 1)

y = 400 - x = 75 (t) or x = 400 - 75t

so: 50 (t + 1) = 400 - 75t

50t + 50 = 400 - 75t

50t + 75t = 400 - 50

t = 2,8 hrs

so y = 400 - 75 (2.8) = 210 miles from Los Angeles

distance from Fresno where both cars meet = 210 - 150 = 60 miles