question_answer

Water flows in a tank\[150\,m\,\times \,100\,m\] mat the base, through a pipe whose cross-section is 2 dm by 1.5 dm at the speed of 15 km per hour. In what time, will the water be 3 metres deep?

A)  50 hours                      

B)  150 hours        

C)         100 hours     

D)         200 hours                    

Correct Answer: C

Solution :

Suppose in hours water will be 3 metres deep in the tank. Volume of water in the tank in hours Area of the cross-section of the pipe Volume of water that flows in the tank is hours = (Area of cross-section of the pipe) (Speed of water)  (Time) [Speed = 15 km/hr = 15000 m/hr] Since, the volume of water in the tank is equal to the volume of water that flows in the tank in hours. hours.