A passenger train takes 2hrs less for a journey of 300km of its speed by 5km/hr from its ususal speed
Answers
Let x = normal speed
Let x = normal speed 300 / (x + 5) + 2 = 300 / x
Let x = normal speed 300 / (x + 5) + 2 = 300 / x . . . combine left side into a single fraction
Let x = normal speed 300 / (x + 5) + 2 = 300 / x . . . combine left side into a single fraction (310 + 2x) / (x + 5) = 300 / x
Let x = normal speed 300 / (x + 5) + 2 = 300 / x . . . combine left side into a single fraction (310 + 2x) / (x + 5) = 300 / x . . . cross multiply
Let x = normal speed 300 / (x + 5) + 2 = 300 / x . . . combine left side into a single fraction (310 + 2x) / (x + 5) = 300 / x . . . cross multiply 310x + 2x^2 = 300x + 1500
Let x = normal speed 300 / (x + 5) + 2 = 300 / x . . . combine left side into a single fraction (310 + 2x) / (x + 5) = 300 / x . . . cross multiply 310x + 2x^2 = 300x + 1500 2x^2 + 10x - 1500 = 0
Let x = normal speed 300 / (x + 5) + 2 = 300 / x . . . combine left side into a single fraction (310 + 2x) / (x + 5) = 300 / x . . . cross multiply 310x + 2x^2 = 300x + 1500 2x^2 + 10x - 1500 = 0 x^2 + 5x - 750 = 0
Let x = normal speed 300 / (x + 5) + 2 = 300 / x . . . combine left side into a single fraction (310 + 2x) / (x + 5) = 300 / x . . . cross multiply 310x + 2x^2 = 300x + 1500 2x^2 + 10x - 1500 = 0 x^2 + 5x - 750 = 0 (x - 25) (x + 30) = 0
Let x = normal speed 300 / (x + 5) + 2 = 300 / x . . . combine left side into a single fraction (310 + 2x) / (x + 5) = 300 / x . . . cross multiply 310x + 2x^2 = 300x + 1500 2x^2 + 10x - 1500 = 0 x^2 + 5x - 750 = 0 (x - 25) (x + 30) = 0 x = -30 <== invalid negative time
Let x = normal speed 300 / (x + 5) + 2 = 300 / x . . . combine left side into a single fraction (310 + 2x) / (x + 5) = 300 / x . . . cross multiply 310x + 2x^2 = 300x + 1500 2x^2 + 10x - 1500 = 0 x^2 + 5x - 750 = 0 (x - 25) (x + 30) = 0 x = -30 <== invalid negative time x = 25 km / h <===== answer
Let x = normal speed 300 / (x + 5) + 2 = 300 / x . . . combine left side into a single fraction (310 + 2x) / (x + 5) = 300 / x . . . cross multiply 310x + 2x^2 = 300x + 1500 2x^2 + 10x - 1500 = 0 x^2 + 5x - 750 = 0 (x - 25) (x + 30) = 0 x = -30 <== invalid negative time x = 25 km / h <===== answerStep-by-step explanation:
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