Two drivers, Alison and Kevin, are participating in a race. Beginning from a standing start, they each proceed with a constant acceleration. Alison covers the last one seventh 1 7 of the distance in 33 seconds, whereas Kevin covers the last one third 1 3 of the distance in 77 seconds. Who wins and by how much time?

Step-by-step explanation:

Acceleration is the rate of change of velocity. When acceleration is high, it means that the velocity is not changing. Since they ran at a constant acceleration, it mean that their velocities didn't change throughout.

If Alison covers the last one seventh of the distance in 33 seconds, it means that the distance covered in 33 seconds is

1/7 = 0.14

Velocity = distance/time

Velocity of Alison = 0.14/33 = 0.004242

If Kevin covers the last one third of the distance in 77 seconds, it means that the distance covered in 77 seconds is

1/3 = 0.33

Velocity of kelvin = 0.33/77 = 0.004286 m/s

We can see that Kelvin has a greater speed. So kelvin had covered Alison's, distance, the time he would have spent is

Time = distance/velocity

Time = 0.14/0.004286 = 32.66

The time difference would have been 33 - 32.66 = 0.34 seconds

Kelvin won by 0.34 seconds