# A train covered a certain distance at a uniform speed. If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled time. And, if the train were slower by 10 km/h, it would have taken 3 hours more than the scheduled time.Find the distance covered by the train.

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A train covered a certain distance at a uniform speed. If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled time. And, if the train were slower by 10 km/h, it would have taken 3 hours more than the scheduled time.
Find the distance covered by the train.

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Step 1

Let the speed of the train be x km per hour and time taken be y hours.

Then

Step 2

Given that If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled time.

That is,

Step 3

Also given that  if the train were slower by 10 km/h, it would h...

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### Algebra 