water is pouring into a reservoir at the rate of 60 liters per minute. if the volume of the reservoir is 108 m^3 , find the number of hours it will take to fill the reservoir.
Answers
1m³ = 1000 Litres
108m³ = 108000litres
Time taken
= 108000/60
= 1800 minutes
= 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.