Question

raj and ajay close friends . both the families decide to go to ranikhet by their own cars . raj's car travels at a speed of x km/ solutions

Answer 1

Answer:

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

1st condition:

Time taken to cover 360 km =

x

360

2nd condition

Time taken to cover 360 km when speed has increased by 5 km/hr =

x+5

360

hr

Difference in time = 1 hr

x

360

−

x+5

360

=1

x(x+5)

360(x+5)−360x

=1

x(x+5)

1800

=1

x

2

+5x=1800

x

2

+5x−1800=0

x

2

+45x−40x−1800=0

x(x+45)−40(x+45)=0

(x+45)(x−40)=0

x=40,−45km/hr.

So, the speed of the car is 40 km/hr. Speed cannot be negative