A priest from a temple rang the bell at an interval of 60-sec but a man hears it in 55-sec interval if the distance between the temple and the man is 900 m find the time in which he will arrive in the temple given that the speed of sound of the bell is 330 m/sec.

A priest from a temple rang the bell at an interval of 60-sec but a man hears it in 55-sec interval if the distance between the temple and the man is 900 m find the time in which he will arrive in the temple given that the speed of sound of the bell is 330 m/sec. Correct Answer 30 seconds

Given:

Speed of sound = 330 m/sec

Man hears the bell in 55-sec interval

Priest rang the bell in 60-sec interval

Distance from man to temple = 900 m

Concept:

As the distance is the same so we can say that time is inversely proportional to speed.

Calculation:     

                              Sound            Man         

Time (in sec)            5                  55

                                   1       :          11

Speed                       11      :           1

Speed of sound = 11R = 330 m/sec

So the speed of man = 1R = 30 m/sec

∴ Man arrives to the temple in = 900/30 = 30 seconds      

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.