Question

a train travels 3km at a uniform speed .If the speed had been 5km/h more it would have taken 1hour less for the same journey .Find the speed of train​

Answer 1

Step-by-step explanation:

Given distance=360 km.

Let the speed of the train be x km/hr.

Speed when increased by 5 km/hr =(x+5) km/hr

x

360

−

(x+5)

360

=1

x(x+5)

[360x+1800−360x]

=1

x

2

+5x−1800=0

x

2

+45x−40x−1800=0

x(x+45)−40(x+45)=0

(x−40)(x+45)=0

x=40,−45

The speed of the train is 40 km/hr.

Answer 2

Answer:

5km/hr=(x+5)km/hr

360x-(x+5)360

=1

x(x+5)

360x+1800-360x)

=1

2x+5x-1800=0

2x+45x-40x-1800=0

x(x+45)-40(x+45)=0

(x+45)|(x-40)

x+45=0 | x-40=0

transpose 45| transpose -40

then | then,

x=-45 | x=40

x=-45,40

x=40