question_answer 1)

                Water is pouring into a cuboidal reservoir at the rate of 60 litres per minute. If the volume of reservoir is \[108\,{{m}^{3}},\] find the number of hours it will take to fill the reservoir.

Answer:

                Volume of reservoir \[=108\,{{m}^{3}}\]                 \[=108\times 1000L\] = 108000 L Water poured per minute = 60 L \[\therefore \] Time taken to full the reservoir \[=\frac{\text{Volume}\,\text{of}\,\text{the}\,\text{reservoir}}{\text{Water}\,\text{poured}\,\text{per}\,\text{minute}}\] \[=\frac{108000}{60}\,m\]            \[\frac{10800}{60\times 60}\] hours = 30 hours Hence, the number of hours it will take to fill the reservoir is 30.