Question

The difference between the speeds of A and B is 10 km/hr. To travel a distance of 600 km, B takes 3 more hours than A. Find the time B will take to cover a distance of 2400 km.​

Answer 1

Answer:

40

Uniform speed =x km/h

distance =240 km

time =

Speed

Distance

=

x

240

hours

Due to heavy rain speed =(x−10) km/h

Now time =

x−10

240

hours

According to question

x−10

240

−

x

240

=2

x(x−10)

240x−240(x−10)

=2

x

2

−10x

240x−240x+2400

=2

⇒2x

2

−20x−2400=0

⇒x

2

−10x−1200=0

x

2

−40x+30x−1200=0

x(x−40)+30(x−40)=0

⇒(x−40)(x+30)=0

x=40 and x=−30 (speed can not be negative)

∴ uniform speed =40 km/h.