A train starts from Pune at 9:00 A.M. and reaches Mumbai at 12:00 noon and a car start to move from Mumbai at 10:30 A.M. and reaches Pune at 4:30 P.M. If the distance between Pune and Mumbai is 600 km, then at what time the train and car meet each other?

A train starts from Pune at 9:00 A.M. and reaches Mumbai at 12:00 noon and a car start to move from Mumbai at 10:30 A.M. and reaches Pune at 4:30 P.M. If the distance between Pune and Mumbai is 600 km, then at what time the train and car meet each other? Correct Answer 11:30 A.M.

Given:

Distance between Pune to Mumbai = 600 km

The train starts at 9:00 A.M.

Formula used:

Speed : distance / time

Calculation:

Speed of train : 600 / 3

= 200 km / h

Speed of car = 600 / 6

= 100 km / h

Distance travelld by train from 9:00 A.M. to 10:30 A.M. is 300 km

Remaining distance = 600 – 300 = 300 km

Relative speed of train and car = (200 + 100) km / h

= 300 km / h

Time: 300 / 300

= 1 hour

Hence, the train and car meet at 11:30 A.M.

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.
A starts his car to move from Pune to Delhi at a speed of 40 km/h. B starts his car to go from Delhi to Pune after 1.5 hours of A’s starting at a speed of 70 km/h. Total distance between Pune and Delhi is 500 km. After how much time they will meet and how much distance they have covered when they meet?