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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. Q115. Find the ratio of P : Q.
- 5:4
- 2:1
- 1:8
- 2:3
Correct answer: 2:1
Solution
From the platform-time condition and the average relation, we can first determine the values linked to P and Q. Solving the resulting equations gives the ratio P:Q = 2:1.
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