SOLUTION: Hi. My name is Allen and I usually have issues with these word problems. Could you please help me solve this problem. Thank you Car A starts in Sacramento at 11am. It travels a

Algebra ->  Equations -> SOLUTION: Hi. My name is Allen and I usually have issues with these word problems. Could you please help me solve this problem. Thank you Car A starts in Sacramento at 11am. It travels a      Log On


   

Question 715204: Hi. My name is Allen and I usually have issues with these word problems. Could you please help me solve this problem. Thank you
Car A starts in Sacramento at 11am. It travels along 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 = _______ miles
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Let the cars meet at a time t after 12 noon.
The speed of car A is 50+mph
The distance traveled by A in %28t%2B1%29h is x+=+50%28t%2B1%29mil
The speed of car B is 75+mph
The distance traveled by B in t hours is y+=+75tmil
But, x%2By+=+400mil
50%28t%2B1%29%2B75t+=+400
50t%2B50%2B75t+=+400
125t+=+400-50
125t+=+350%7D%7D%5D%0D%0A%0D%0A+++++++%7B%7B%7Bt+=+350%2F125
t+=+2.8+h or
t+=+2h+48min
The distance traveled by B is 75t+=75%2A2.8=+210mil
But Fresno is 150mil from LA, so the distance between the point of meeting and Fresno is 210-150+=+60+mil.