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?
Answers
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 =)