A train travels 360 km at uniform speed. The speed had been 5 km/hr more, it would have taken 1 hour less for the same. Find the speed of the train
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Heyy Buddy❤
Here's your Answer..
Let the speed of the train be x km/hr.
Distance = 360 km.
=> Time Taken = 360/x
CONDITION II,
Speed of train = (x + 5) km/hr
Distance = 360km
=> Time take. = 360 / (x+5)
A.T.Q.
360/ x - 360/x+5 = 1
⇒360 (x+5-x)/x(x+5) = 1
⇒360 (5) = x² + 5x
⇒1800 = x² + 5x
⇒x² + 5x - 1800 = 0
⇒x² + 45x - 40x - 1800 = 0
⇒x (x+45) - 40( x +45) = 0
⇒(x+45) (x-40) = 0
⇒x = -45 (Neglect) and 40
=> Speed of Train = 40km/hr.
✔✔
Here's your Answer..
Let the speed of the train be x km/hr.
Distance = 360 km.
=> Time Taken = 360/x
CONDITION II,
Speed of train = (x + 5) km/hr
Distance = 360km
=> Time take. = 360 / (x+5)
A.T.Q.
360/ x - 360/x+5 = 1
⇒360 (x+5-x)/x(x+5) = 1
⇒360 (5) = x² + 5x
⇒1800 = x² + 5x
⇒x² + 5x - 1800 = 0
⇒x² + 45x - 40x - 1800 = 0
⇒x (x+45) - 40( x +45) = 0
⇒(x+45) (x-40) = 0
⇒x = -45 (Neglect) and 40
=> Speed of Train = 40km/hr.
✔✔
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