Question 127

The distance from Y to Z is thrice that from X to Y. Two trains A and B travel from X to Z via Y The speed of train B is double that of train A while traveling from X to Y and their speeds are interchanged while traveling from Y to Z. The ratio of the time taken by train A to that taken by train B in traveling from X to Z is?

Solution

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Let us assume the distance from X to Y to be 100 kms and from Y to Z to be 300 kms.
Let us also assume the speed of train A from X to Y to be 50 kms/hr, then speed of train B from X to Y will be 100 kms/hr.
Time taken by A to travel from X to Z = $$\frac{100}{50}+\frac{300}{100}=5\ hrs$$ and time taken by B to travel from X to Z = $$\frac{100}{100}+\frac{300}{50}=7\ hrs$$.
So, the ratio of time taken by A and B = 5:7.

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