Physics problem…so confused?!

A Porsche challenges a Honda to a 400 m race. Because the Porsche's acceleration of 3.4 m/s2 is larger than the Honda's 3.0 m/s2, the Honda gets a 100 m head start - it is only 300 m from the finish line. Assume, somewhat unrealistically, that both cars can maintain these accelerations the entire distance.

a) Who wins the race?
A. Porsche
B. Honda
C. They finish at the same time
D. It is impossible to determine

Please explain the process of solving this problem in detail.

Time for Porsche to cover 400 metres = sqrt.(2d/a) = 15.33929978 secs.
Time for Honda to cover 300 metres = sqrt.(2d/a) = 14.14213562 secs.
B, Honda.

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