Ex 11.4, 8 Water is pouring into a cuboidal reservoir at the rate of 60 liters per minute. If the volume of reservoir is 108 m3, find the number of hours it will take to fill the reservoir.
Since time taken is given in liters
We convert Volume in liters
Volume of reservoir = 108 m3
= 108 × 1000 liters
= 108000 liters
Given,
Water is poured at the rate of 60 Litres per minute.
Time taken to pour 60 Litres = 1 minute
Time taken to pour 1 Litres = 1/60 minute
Time taken to pour 108000 Litres = 108000 × 1/60 minutes
= 108000/60 minutes
= 10800/6 minutes
= 1800 minutes
= 1800/60 hours
= 30 hours
∴ The reservoir will fill in 30 hours.

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.