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Directions (114-115): Read the information and answer the following questions. Four stations in a rectangular form ABCDA. The distance between A to B is (P²+100) km and that of between B and C is (20P+100) km. Train Y starts from station A and continues travel to D via station B to C. Total distance travelled by the train is 2700 km in 25 hours. The table given below shows the time to cross the pole and time to cross platform. Train X: Time to cross pole = 0.5P - 5 sec, Time to cross platform = P sec Train Y: Time to cross pole = ............, Time to cross platform = Q sec Train Z: Time to cross pole = M sec, Time to cross platform = P+6 sec Note: Average time taken by all the train to cover platform is (Q+6) second and length of platform = 400 meters. Q114. If the length of train Z is average length of train X and Y, then find M.
- 14
- 32.14
- 28
- 20
Correct answer: 28
Solution
Using the train-length relation from crossing a pole and a platform, the length of train Z is tied to the average of the lengths of trains X and Y. Substituting the given expressions and simplifying gives M = 28.
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