Quantitative Aptitude – TSD – The distance from B to C is thrice that from A to B

Slot – 1 – Quantitative Aptitude – TSD – The distance from B to C is thrice that from A to B

Q. The distance from B to C is thrice that from A to B. Two trains travel from A to C via B. The speed of train 2 is double that of train 1 while traveling from A to B and their speeds are interchanged while traveling from B to C. The ratio of the time taken by train 1 to that taken by train 2 in travelling from A to C is?
1. 5:7
2. 4:1
3. 7:5
4. 1:4

Solution:
let the distance b/w A to B = 10x so that of B to C = 30x.

Total time taken by T1 = (10x/v )+(30x/2v ) = 25x/v
Total time taken by T2 = (10x/2v ) + (30x/v ) =35x/v
Required ratio of time = 25x/v : 35x/v = 5:7

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