a train travels at a certain average speed for a distance of 63km and then travels a distance of 72 km at an average speed of 6km/h more than it's original speed. if it takes 3 hours to complete the total journey, represent the situation in a quadratic equation.
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Step-by-step explanation:
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Given :-
- a train travels at a certain average speed for a distance of 63km .
- then travels a distance of 72 km .
- average speed of 6km/h
- more than it's original speed.
- takes 3 hours to complete the total journey
To Find :-
- represent the situation in a quadratic equation.
Supposed average speed be x km/hr.
63/x + 72/x + 6 =3
21 ( x + 6 ) + 24x = x^2 + 6x
x^2 - 39x - 126=0
( x - 42 )( x + 3 )=0
x = 42 km/hr
Hence the number is 42 km/hr.
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