Question 15.
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
Question Explanation
Let the distance from A to B be "x", then the distance from B to C will be 3x. Now the speed of Train 2 is double of Train 1. Let the speed of Train 1 be "v", then the speed of Train 2 will be "2v" while traveling from A to B.
Time taken by Train 1 = (x/v)
Time taken by Train 2 = (x/2v)
Now from B to C distance is "3x" and the speed of Train 2 is (v) and the speed of Train 1 is (2v).
Time taken by Train 1 = 3x/2v
Time taken by Train 2 = 3x/v
Total time taken by Train 1 = x/v(1+(3/2)) = (5/2)(x/v)
Total time taken by Train 2 = x/v(3+(1/2))= (7/2)(x/v)
Ratio of time taken =
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