If a train runs at 40 kmph it reaches its destination late by 11 minutes. But if it runs at 50 kmph it is late by 5 minutes only. Find the distance to be covered by the train.
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Answer:
Hence , the distance to be covered by the train is 20 km .
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Let the correct time for the train to complete the journey is x minuets
Then train cover distance in x+11 minuets at speed 40 km\hr = 40(x+11)/60 km
Then train cover distance in x+5 minuets at speed 50 km\hr = 50(x+5)/60 km
Both are same then
40(x+11)/60= 50(x+5)/60
∴40x+440=50x+250
∴−10x=−190
∴x=19 minutes
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