A TRAIN TRAVELLING AT A UNIFORM SPEED OF 360 KM WOULD HAVE TAKEN 48 MINUTE LESS TO TRAVEL THE SAME DISTANCE IF ITS SPEED WERE 5 KM/H MORE. FIND THE ORIGINAL SPEED OF THE TRAIN
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Let the original speed of train be x km/hr.
Time taken = 360/x hrs.
New speed of train= (x+5)km/hr
New Time taken = 360/(x+5) hrs
Given,
360/(x+5) = 360/x - 48
360x = (360-48)(x+5)
360x = 312x + 1560
48x = 1560
x= 32.5 km/hr.
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