A police man spots a mugger from a distance of 200 meters. As the police man starts chasing the mugger, the mugger also starts running. Given that the speed of the mugger is 10 km/h and that of the police man is 12 km/h, how far would have the mugger run before he is caught?

A police man spots a mugger from a distance of 200 meters. As the police man starts chasing the mugger, the mugger also starts running. Given that the speed of the mugger is 10 km/h and that of the police man is 12 km/h, how far would have the mugger run before he is caught? Correct Answer 1 km

Lets say the mugger ran for T hours before being caught. 200 meters = 0.2 km ATQ,  12T = 10T + 0.2 Or,   12T - 10T = 0.2 Or,    T = 0.1 hour So, he ran = 10T = 10 x 0.1 = 1 km.

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.