SOLUTION: X an Y are two stations 500 km apart. A train starts form X and moves towards Y at 20 km/hr. Another rain starts from Y at the same time and moves towards X at 30 km/hr. How far fr
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Question 1069683: X an Y are two stations 500 km apart. A train starts form X and moves towards Y at 20 km/hr. Another rain starts from Y at the same time and moves towards X at 30 km/hr. How far from X will they cross each other: Found 2 solutions by ikleyn, MathTherapy:Answer by ikleyn(52802) (Show Source):
Time they travel before they cross each other is = 10 hours.
During 10 hours the first train covers 10*20 = 200 km.
Answer. 200 km.
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The tutor "MathTherapy" wrote his own solution.
Probably, he tried to prove that I made a mistake in my solution.
But instead, he made a mistake in his own solution.
Below I re-wrote his solution with my correction. It gives the same result/answer as my original solution.
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With D being the distance from X where they cross, we get the following TIME equation:
30D = 20(500 - D) ------- Cross-multiplying
30D = 10,000 - 20D
30D + 20D = 10,000
50D = 10,000
D, or distance form X where they cross =
You can put this solution on YOUR website! X an Y are two stations 500 km apart. A train starts form X and moves towards Y at 20 km/hr. Another rain starts from Y at the same time and moves towards X at 30 km/hr. How far from X will they cross each other:
With D being the distance from X where they cross, we get the following TIME equation:
30D = 20(500 - D) ------- Cross-multiplying
30D = 10,000 - 20D
30D + 20D = 10,000
50D = 10,000
D, or distance form X where they cross =
