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Question

A train covers a distance of 670 km in 6h 5 min.If it covers the first 390 km of the journey at 90 km/h,find its speed for rest of the journey?

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Solution

Dear student,

Total Distance=670 kmCase 1He covers distance=390km speed=90km/hrTime taken=distancespeed=39090=4.34 hr=4hr+ 0.34×60 min=4hr 20 minBut we know total time taken =6h 5min Time taken in 2nd case=Total time-Time taken in 1st case=6h 05 min-4hr 20 min=6×60min+05min-4×60min+20min=360min+05min-240min+20min=365min-260min=105 minConverting 105 min into hr10560hr=1.75 hr Time taken in 2nd case=1.75 hrDistance in 2 nd case=total distance-distance in 1 st case=670-390=280 kmSpeed in 2 nd case=Distance in 2 nd caseTime taken in 2nd case=2801.75=160 km/hr
Regards

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