Water flows into a tank $200$ m $\times$ $150$ m through a rectangular pipe $1.5 m \times 1.25$ m at the rate of $20$ km per hour In what time will the water rise by $2$ metres?

The required volume to raise the water level by 2 metres is the base area of the tank multiplied by the rise, which is 200 m times 150 m times 2 m to equal 60000 cubic metres. The volume of water flowing through the pipe in one hour is its cross-sectional area multiplied by the flow rate, which equals 1.5 m times 1.25 m times 20000 m to give 37500 cubic metres per hour. Using the time formula of volume divided by rate, the time taken is 60000 divided by 37500, which equals 1.6 hours. Converting this to minutes gives 1.6 multiplied by 60, resulting in 96 minutes.

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