Two people, Lesley and Tyler, are racing each other. Assume that both their accelerations are constant, Lesley covers the last 1/7 of the race in 4 seconds, and Tyler covers the last 1/4 of the race in 7 seconds. Who wins, and by how much?

To answer this question, we need a formula for the time $t$ it takes an object accelerating from rest at a constant acceleration $a$ to travel a distance $d$. This formula is
$t=$ (Your answer should be an expression in $d$ and $a$.)

Using this formula, we find that the time (in seconds) it takes Lesley to run the race is and that the time it takes Tyler is . Thus wins the race by seconds.