Mohan starts from a point A at 5 : 00 am at the speed of 20 km per hour and from the same point other Rohan starts at 8 : 00 am at the speed of 60 km per hour.  Quantity I: If both meet each other at other point C and return immediately towards point A. How much total time the Mohan will take go and return immediately to the point A? Quantity II: 9 hours 

Mohan starts from a point A at 5 : 00 am at the speed of 20 km per hour and from the same point other Rohan starts at 8 : 00 am at the speed of 60 km per hour.  Quantity I: If both meet each other at other point C and return immediately towards point A. How much total time the Mohan will take go and return immediately to the point A? Quantity II: 9 hours  Correct Answer Quantity 1 = Quantity 2

Given:

Speed of mohan = 20 km/hr initially

Speed of rohan = 60 km/hr

Formula used:

Distance = speed × time 

Calculation:

The distance travelled by Mohan in first 3 hours = 3 × 20 = 60 km 

⇒ the relative speed of X and Y = 60 – 20 = 40 km per hour 

⇒ 60 = 40 × y 

⇒ y = 1.5 hours 

⇒ It means after 1.5 hours the Rohan meets Mohan. 

Quantity I:

The total time taken by A to go and return immediately = 3 + 1.5 + 3 + 1.5

⇒ Total time taken = 9 hours 

Quantity II: 9 hours

∴ Quantity I = Quantity II

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.