Mathematics (AS & A Level) · Feb / March 2017 · Paper 32 · Question 7

h m A water tank has vertical sides and a horizontal rectangular base, as shown in the diagram. The area of the base is 2 m2. At time t = 0 the tank is empty and water begins to flow into it at a rate of 1 m3 per hour. At the same time water begins to flow out from the base at a rate of 0.2 h m3 per hour, where h m is the depth of water in the tank at time t hours.

Read automatically from the paper; the printed page above is exact.