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Two trains , X and Y, started simultaneously form opposite ends of a 100 mile route and traveled toward each other on parallel tracks. Train x , travelling at a constant rate, completed the 100 mile trip in 5 hours, Train Y, travelling at a constant rate , completed the 100 mile trip in 3 hours .How many miles had Train X traveled when it met Train Y?

Two trains , X and Y, started simultaneously form opposite ends of a 100 mile route and traveled toward each other on parallel tracks. Train x , travelling at a constant rate, completed the 100 mile trip in 5 hours, Train Y, travelling at a constant rate , completed the 100 mile trip in 3 hours .How many miles had Train X traveled when it met Train Y? Correct Answer 37. 5

প্রশ্নমতে, x ট্রেনটির গতিবেগ ঘন্টয় 1005 মাইর = 20 মাইল y ,, ,, ,, 1003 ,, ধরি, x ট্রেনটি a মাইল পথ অতিক্রম করার পর এর y সাথে মেলে। y ট্রেনটি তখন অতিক্রম করে (100 - a) মাইল। x ট্রেনটি 20 মাইল পথ অতিক্রম করে 1 ঘন্টায় ∴ x ,, a ,, ,, ,, ,, α20 ,, আবার, y ট্রেনটি 100a মাইর অতিক্রম করে 1 ঘন্টায় ∴ y ,, (100 - a) ,, ,, ,, 100 - a1003 ,, = (100 - a)3100 ,, ∴ a20 = (100 - a)3100 বা, a = (100 - a)35 বা, 5a = 300 - 3a বা, 8a = 300 ∴ a = 37.5 ∴ x ট্রেনটি 37.5 মাইল অতিক্রম করে y এর সাথে মিলিত হয়েছিল।

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