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There is only one rail track between stations A and B on a railway line. One hour after the northbound superfast train N leaves station A for station B, the southbound passenger train S reaches station A from station B. The speed of superfast train is twice that of express train E, while the speed of passenger train S is half of that of train E. On some one day train N leaves from station A to station B 20 minutes late than its usual schedule. Both Train N and Train S have increased their speed to maintain the schedule as per the table. If the superfast train doubles its speed, then what should be the ratio (approximately) of the speed of the passenger train to the speed of the superfast train so that the passenger train reaches the station on that day at the exact scheduled time.
The speed of car is S km/hr running on the road besides a railway track. If the speed of the train is (S + 144) km/hr and car is D meter distance ahead of the engine of train. The train will pass the car in 21 seconds. If the speed of the car is 60 km/hr and the speed of the train is (S + 110) km/hr. The car is (D – 240) meter distance ahead of the engine of the train and the train will pass the car in 20 seconds. The length of the train is (D + 160) m. Then, what is the value of S?
A train with uniform speed crosses a 162m long platform in 36 seconds and another platform 120 m long in 30 seconds. Which of the following statements are correct A. As the length of the platform is changing, the time taken to cover the distance will also change.  B. Speed of the train is 7 m/seconds. C. The length of the train is more than the length of platform 1. D. Train is 90 meters long. E. Length of both the platforms to be added to find the length of the train. Choose the correct options given below.
Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. If the bus is travelling from Surat to Ahmadabad and a car is travelling from Ahmadabad to Surat, then what is the distance between Surat and Ahmadabad? I. The speed of a car is 40% less than the speed of bus. Bus started at 9 am and car started at 10 am and they meet at 3 pm of the same day. II. After travelling for 1 hour, because of traffic average speed of bus is decreased by 20% and covers distance between Surat to Ahmadabad in 11 hours. Original speed of car is 20% less than original speed of bus and before crossing bus it covered 200 km if starts 1 hour later than bus. After crossing car, bus covers remaining distance in 5 hours. III. Speed of bus is 10 km/hr more than the speed of car and before crossing car ratio of distances covered bus and car in same time was 5 : 4. Time taken by car to cover the distance between Ahmadabad and Surat is 2 hours 15 minutes more than time taken by bus to cover the same distance.
In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and chose the correct option. Quantity A: The average speed of a car is \(2\frac{3}{5}\) times the average speed of bus. A bike covers 270 km in 3 hour. How much distance will the car cover in 5 hours if the speed of the bus is one third of the speed of bike? Quantity B: The average speed of a train is \(1\frac{4}{7}\) times the average speed of car. The car covers a distance of 490 km in 5 hours. How much distance will the train cover in 10 hours?
Two trains A and B are running between two points. If the speed of train A is 50% more than the speed of train B. To cover that distance, A takes 15 minutes less than B. If A covered double the distance when B covers the same distance as earlier then he takes 18 minutes more than B. How much time will train A take to cover the distance.
Train cover some part of the distance with 36 kmph and remaining distance cover by train with  40 kmph then find the total time of the train to cover the complete the journey if train cover (50/3)% part of the journey with 36 kmph which is 30 km.
Given below are two quantities named A & B. Based on the given information; you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A∶ The ratio of speeds of two trains is 3 ∶ 4. If the second trains can cover 550 km in 5 hours 30 minutes, then find the speed of first train in km/hr. Quantity B∶ Find the speed of a train in km/hr which can cross a platform whose length is double the train’s length in 60 seconds. The platform is crossed by another train of length 600 meter running at 90 km/hr in 56 seconds. 
Questions below followed by two quantities. Find the relation between them. The table shows the distance travelled by five different boats upstream, the speed of the boat in still water and the time taken by them to cover the upstream distance. Boats Upstream distance Speed of boat Time taken  A  240 km  15 km/hr  20 hr  B  150 km  10 km/hr  25 hr  C  350 km  20 km/hr  50 hr  D  96 km  8 km/hr  16 hr  E  126 km  26 km/hr  9 hr   Quantity I: Boat B travel 238 km distance downstream in certain time. How much downstream distance boat D will cover at the same time? Quantity II: Boat E travel 722 km distance downstream in certain time. How much downstream distance boat A will cover at the same time?
Train A and B cover 400 km distance. Time taken by train A to cover the distance is 4 hours and by train B in 5 hours. Find the speed of train A is what percent more than the speed of train B?