exam Maths Puzzle Numerical Ability

One pump can fill a water tank in 25 minutes. Another pump can fill the same tank in 50 minutes. If the first pump is open for 5 minutes before the second is opened, how long will it take to fill the tank?

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Here is my question: I am suppose to find the population growth with this equation; P=8t^2=Po the population is 1000 and need to get what each year's growth would be from 2010 to solve each equation for x

x^2+4x+4=7
hint factor the left side

i am very confused by this