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 Homework Statement

A rocket accelerates vertically with a constant acceleration of 21.1m/s/s until it’s engine fails after 50 seconds. The rocket reaches an altitude of 26375m when the engine fails. When does the rocket reach its max height? (Ignoring air resistance)
I don’t understand how the equations given in the hint work with this question.
 Homework Equations
 The hint says vi=a*delta t and vf=vig*delta t
21.1*50=1055
1055m/s is the velocity when the engine fails.
I don’t know what the time should be in the second equation.
1055m/s is the velocity when the engine fails.
I don’t know what the time should be in the second equation.