Question

the distance between Mumbai and Pune is 192 kilometre travelling by Deccan Queen it takes 48 minutes less than other train calculate the speed of the Deccan train in the speed of the two trains differ by 20 kilometre​

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Let Speed of deccan queen = x km/h

Speed of other train = (x - 20) km/h

48 min = 48/60 hours = 0.8 hours

Difference in time = 192/(x-20) - 192/x = 0.8

This simplifies to:

3840 = 0.8x² -16x

x² - 20x - 4800 = 0; This is a quadratic equation

x² - 80x + 60x - 4800 = 0

x(x - 80) + 60(x - 80) = 0

(x - 80) (x + 60) = 0

Either x - 80 = 0 ⇒ x = 80

Or x + 60 = 0 ⇒ x = -60

Take x = 80

∴ The speed of the deccan queen = 80 km/h