SOLUTION: At what distance from jalandhar will a train, which leaves jalandhar for delhi at 2.45 pm and goes at the rate of 50 km an hour, meet a train which leaves delhi for jalandhar at 1

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Question 901022: At what distance from jalandhar will a train, which leaves jalandhar for delhi at 2.45 pm and goes at the rate of 50 km an hour, meet a train which leaves delhi for jalandhar at 1.35 pm and goes at the rate of 60 km per hour, the distance between the two towns being 510 km?
Answer by JulietG(1812) About Me  (Show Source):
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The trains are traveling toward each other, so it's a number line.
The earlier train (Train B) travels 1 hour and 10 minutes (or 1%2F6hr) before the second train (Train A) leaves.
At 60kph, it has covered 70km by 2:45pm.
Now the trains are 510-70km, or 440km, apart.
If they are traveling 50+60kph (110kph), how long will it then take to travel 440km? 4 hours.
4 hours from Jalandhar at 50kph = 200km
At 6:45pm, the trains will meet -- Train A will be 200km from Jalandhar and Train B will be 310km from Jalandhar.

Prove:
Train A travels 4 hours at 50kph, for a total of 200km
Train B travels 51%2F6 hours at 60kph, for a total of (51%2F6*60) 310km
200 + 310 = 510km