# HARD MATHS – How much faster is one train from other Puzzle

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Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination 1hr and 4hrs respectively after passing each other.

How much faster is one train from other?

Best answer

**The speed of Bangalore-Mysore train is TWICE the speed of Mysore-Bangalore train.**

**EXPLANATION-**

Let the time required to reach the meeting point is **t**

Speed of Bangalore-Mysore train be **U**

Speed of Mysore-Bangalore train be **V**

So,

The meeting point would be at a distance of u*t and v*t from the two stations.

Now according to the given condition

**u*t = v*4**

and

**v*t = u*1**

on taking the ratio of these 2 equations,

we have,

u/v = 4v/u

u/v = 2/1

Hence, the speed of Bangalore-Mysore train is TWICE the speed of Mysore-Bangalore train.

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