SOLUTION: Can you please solve the following problem? Two trains are 500 miles apart when they first enter a collision course. If, after two hours, the distance between them is 300 mile

Algebra.Com
Question 1056233: Can you please solve the following problem?

Two trains are 500 miles apart when they first enter a collision course. If, after two hours, the distance between them is 300 miles and one train goes 20 mph faster than the other, find the speed of the faster train.
Found 3 solutions by rfer, ikleyn, MathTherapy:
Answer by rfer(16322)   (Show Source): You can put this solution on YOUR website!
300/2=150 per hr
x+x+20=150
2x=150-20
x=130/2
x=65 mph slow
x+20=85 mph fast
Answer by ikleyn(52864)   (Show Source): You can put this solution on YOUR website!
.
Two trains are 500 miles apart when they first enter a collision course. If, after two hours, the distance between them
is 300 miles and one train goes 20 mph faster than the other, find the speed of the faster train.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

1)  500 - 300 = 200 miles is decreasing the distance between two trains in 2 hours.

2)  = 100 miles per hr is the sum of their rates.

   x + (x+20) = 100

   2x = 100-20

   x = 

   x = 40 mph slower

   x + 20 = 60 mph faster


Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

Can you please solve the following problem?

Two trains are 500 miles apart when they first enter a collision course. If, after two hours, the distance between them is 300 miles and one train goes 20 mph faster than the other, find the speed of the faster train.
Let faster train’s speed be S

Then slower train’s speed = S – 20

At 1st they were 500 miles apart, but after 2 hours, they were 300 miles apart, which means that in 2 hours they covered 200 (500 – 300) miles

We then get the following DISTANCE equation: 2S + 2(S – 20) = 200

2S + 2S – 40 = 200

4S – 40 = 200

4S = 240

S, or speed of faster train =  

RELATED QUESTIONS


Could I have the solution for this problem?


Two trains are 500 miles apart when they  (answered by ikleyn)

Two trains are 500 miles apart when they first enter a collision course. If, after two... (answered by josmiceli)

Hello, I need help on this problem, if you don't mind may you please show most of the... (answered by ankor@dixie-net.com)

Two trains are 500 miles apart when they first start moving towards each other. If in two  (answered by josgarithmetic)

Two trains, each two miles long, enter two one mile long tunnels that are two miles apart  (answered by mananth)

Hello tutor, i need help with this problem: (may you please show some steps?)
Two trains  (answered by Theo)

Given: d = rt, where "d" is distance, "r" is rate, and "t" is time.
    Two trains on... (answered by josgarithmetic)

 Provided: d = rt, where "d" is distance, "r" is rate, and "t" is time.
    Two trains... (answered by rothauserc)

Two trains are 500 miles apart when they first start moving towards each other. If in two  (answered by ikleyn)