SOLUTION: 47. A train leaves kansas city, kansas, and travels north at 85 km per hr. Another train leaves at the same time and travels south at 95 km per hr. How long will it take before the

Algebra ->  Linear-equations -> SOLUTION: 47. A train leaves kansas city, kansas, and travels north at 85 km per hr. Another train leaves at the same time and travels south at 95 km per hr. How long will it take before the      Log On


   

Question 203027This question is from textbook beginning algebra
: 47. A train leaves kansas city, kansas, and travels north at 85 km per hr. Another train leaves at the same time and travels south at 95 km per hr. How long will it take before they are 315 km apart?
53. Two cars start from towns 400 mi apart and travel toward each other. They meet after 4 hours. Find the speed of each car if one travels 20 mph faster htan the other.
Thank you so much. Like I said in my other questions, I can do the problem once it is set up but I have a hard time translating word problems into math problems. Thank you again for your time. This question is from textbook beginning algebra

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
85x+95x=315
180x=315
x=315/180
x=1.75 hours after they leave they will be 315 km apart.
----------------------------------------------------------------
4x+4(x+20)=400
4x+4x+80=400
8x=400-80
4x=320
x=320/8
x=40 mph for the slower car.
40+20=60 mph for the faster car.
Proof:
4*40+4*60=400
160+240=400
400=400