Water is pouring into a cuboidal reservoir at the rate of 60 liters per minute . If the volume of reservoir is 108meter cube , find the number of hours it will take to fill the reservoir.
Answers
Rate of flow of water = 60 litres/minute
Volume of the tank = 108 m3
1 m3 = 1000 litres
108 m3= 108000 litres
Time taken to fill the complete tank = 108000/60 = 1800 minutes = 1800/60 hours = 30 hours
The tank will be filled completely in 30 hours.
Answer:
It will take 30 hours to fill the reservoir.
Step-by-step explanation:
Given: volume of reservoir = 108 m^3
Rate of pouring water into cuboidal reservoir = 60 liters/minute
= 60/1000 m^3/minute [1l = 1/1000 m^3]
= (60 * 60)/1000 m^3/hour
Since (60 * 60)/1000 m^3 water filled in reservoir will take = 1 hour
So, 1 m3 water filled in reservoir will take = 1000/(60 * 60) hours
So, 108 m3 water filled in reservoir will take = (1000 * 108)/(60 * 60) hours
= 30 hours
It will take 30 hours to fill the reservoir.