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.

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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) About Me  (Show Source):
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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. distance=speed+%2A+time or time=distance%2Fspeed

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 time=distance%2Fspeed=230%2F%28x-12%29 be the time traveled by train A.

Step 5. Let time=distance%2Fspeed=290%2Fx be the time traveled by train B.

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

230%2F%28x-12%29=290%2Fx

Multiply by x%28x-12%29 to both sides of the equation to get rid of the denominators.

x%28x-12%29%2A%28230%2F%28x-12%29%29=x%28x-12%29%2A%28290%2Fx%29

230x=290%28x-12%29

230x=290x-290%2A12

230x=290x-3480

Add 3480-230x to both sides of the equation


230x%2B3480-230x=290x-3480%2B34080-230x

3480=60x

Divide by 60 to both sides of the equation

3480%2F60=60x%2F60

x=58 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.

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And good luck in your studies!

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