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e speed3. A train covered a certain distance at a uniform speed. If thof the train would have been 15 km/h more, it would have t1.2 hours less than the scheduled time. If the speed of thewould have been 12 km/h less, it would have taken 1.5 hours mothan the scheduled time. Find the distance covered by the trainake(HOT |
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Answer» Let the speed of the train by x km/hrAnd the time taken by the train be ‘y’ hrsDistance traveled by the train is x.y = xy Case IIf the train would have been 15 km/hr faster, it would have taken 1.2 hours less than the scheduled time.⇒ (x + 15) (y - 1.2) = xy⇒ -1.2x + 15y = 18⇒ 2x – 25y = -30---------------- (1) Case IIIf the train were slower by 12 km/hr, it would have taken 1.5 hours more than the scheduled time⇒ (x - 12) (y + 1.5) = xy⇒ 1.5x – 12y = 18⇒ x –8y = 12----------------(2) Solve it simultaneously and get the values of x and y.y= 6hrx=60 km thanks a lot |
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