SOLUTION: The speed of train A is 12 km/hr is slower than the speed of train B. Train A travels 230 km in the same time it takes train B to travel 290 km,. Find the speed of each.

Question 227721: The speed of train A is 12 km/hr is slower than the speed of train B. Train A travels 230 km in the same time it takes train B to travel 290 km,. Find the speed of each.
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
The speed of train A is 12 km/hr is slower than the speed of train B. Train A travels 230 km in the same time it takes train B to travel 290 km,. Find the speed of each.

Step 1. or

Step 2. Let x be the speed of train B

Step 3. Let x-12 be the speed of train A since it is 12 km/hr slower.

Step 4. Let be the time traveled by train A.

Step 5. Let be the time traveled by train B.

Step 6. Set the equations in Steps 4 and 6 since they traveled at the same time.

Multiply by to both sides of the equation to get rid of the denominators.

Add 3480-230x to both sides of the equation

Divide by 60 to both sides of the equation

speed of Train B and hours which is a true statement.

Step 7. ANSWER: The speed of Train A is 46 km/hr and speed of Train B is 58 km/hr.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV
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