The distance between mumbai and pune is 192 km

Asked by admin @ 20/08/2021 in Math viewed by 298 People

The distance between mumbai and pune is 192 km travelling by deccan queen it takes 48 minutes less than another train calculate the speed of deccan queen if the speed of two trains differ by 20 km/ hr no links please Answer accordingly

Answered by admin @ 20/08/2021

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

Take any three non-collinear points a b c and draw triangle a,b,c. through each vertex of the triangle draw a line parallel to the opposite side using ruler and compass

Asked by wiki @ 15/11/2022 in Mathematics viewed by 1538 persons

The distance between mumbai and pune is 192 km

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