Which car wins the race, and by how many seconds?

Thank You! :)

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In a quarter-mile drag race, two cars start simultaneously from rest, and each accelerates at a constant rate until it either reaches its maximum speed or crosses the finish line. Car A has an acceleration of 11.6 m/s2 and a maximum speed of 105 m/s. Car B has an acceleration of 11.5 m/s2 and a maximum speed of 90.5 m/s. Which car wins the race, and by how many seconds?

I have been working this problem for the past 2 hours and can not get it right... So here are the answers that are NOT RIGHT: 0.02, 0.56, 0.58, 0.59, 0.54, 0.55, 0.61, 0.23... :( PLEASE HELP!! :) thank YOU!! :)
 
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