Question

if a train travels 15km/hr faster, it would take 1 hr less to travel 180km . find tthe original speed of the train.

Answer 1

here is your answer hope it helps!!

Answer 2

Answer : The original speed of the train be, 45 km/hr

Given if a train travels 15 km/hr faster then it would take 1 hr less to travel 180 km. Then, the original speed of the train is to be found.

Let the previous speed of the train be x,

Using the distance-time formula

previous time = 180/x

Now, new speed be (x + 15) and new time be (180/x - 1)

as, distance = speed × time

180 = (x + 15)(180/x - 1)

180x = (x + 15)(180 - x)

180x = 180x + 2700 - x² - 15x

x² + 15x - 2700 = 0

x² + 60x - 45x - 2700 = 0

(x + 60)(x - 45) = 0

x = 45

the original speed of the train be, 45 km/hr

So, to conclude in a single sentence the original speed of the train be, 45 km/hr .

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