Question

25. A train travels 480 km at a uniform speed. If the speed had been 10km/h more, it
would have taken 4 hours less for the same journey, find the speed of the train?​

Answer 1

Answer:

Let the speed of the train be x

The distance covered is 450km

So the time taken is 450/x

The speed is now 40kmph less, so the speed is x−40

The same distance so 450km

Time taken is x−40/450

According to question,

The second case takes 4 more hours to reach a destination

450(x−40)=450(x)+4x(x−40)answr

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11th

Applied Mathematics

Numerical Applications

Time and distance

A train travels a distance ...

Maths

A train travels a distance of 480 km at a uniform speed. If the speed had been 40 km/h less, then it would have taken 4 hours more to cover the same distance. Find the speed of the train.

Medium

Answer

Open in answr app

Let the speed of the train be x

The distance covered is 450km

So the time taken is

x

450

⋯(1)

The speed is now 40kmph less, so the speed is x−40

The same distance so 450km

Time taken is

x−40

450

According to question,

The second case takes 4 more hours to reach a destination

So

x

450

=

x−40

450

+4

x

450

=

x−40

450

+

x−40

4(x−40)

450(x−40)=450(x)+4x(x−40)

4x2 −160x−4500=0

x 2 −40x−4500=0

x 2 −90x+50x−4500=0

x(x−90)+50(x−90)=0

(x−90)(x+50)=0

x=90,−50

Speed cannot be negative so the speed of the train is 90kmph

Thank you =)