Govt has decided to connect Tripura and Delhi via a train service which is called 'Tripura Sundari Express' Two trains are running from Tripura and Delhi towards each other. Train from Tripura in covering a distance of 60 km takes 2 hours more than that of the train from Delhi. If Tripura doubles its speed, then it would take 1 hour less than that of Delhi. Tripura train's speed is?

Govt has decided to connect Tripura and Delhi via a train service which is called 'Tripura Sundari Express' Two trains are running from Tripura and Delhi towards each other. Train from Tripura in covering a distance of 60 km takes 2 hours more than that of the train from Delhi. If Tripura doubles its speed, then it would take 1 hour less than that of Delhi. Tripura train's speed is? Correct Answer 10

Concept:

Speed = Distance/Time

Calculation:

Let be assume the speed of the Tripura train is X and the speed of the Delhi train is Y

⇒ 60 × (1/X - 1/Y) = 2 ..... (1)

⇒ When train Tripura double it's speed 

⇒ 60 × (1/Y - 1/2X) = 1 ..... (2)

⇒ By solving equation (1) and (2)

⇒ X/Y = 2/3

⇒ From equation (1)

⇒ X = 10 km/h

∴ The required result will be 10 km/h.

Related Questions

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.