Answer:
A. 456 seconds
Explanation:
Two students walk down a straight path in the same direction at constant velocities.
One has a velocity of 0.90 m/s
while the other moves at 1.9 m/s.
Each student covers a distance of 780 meters.
Our goal is to determine who is quicker and the additional time the slower student takes compared to the faster one.
For the student moving at 0.90 m/s, the time taken is
.
Time=
.
The time for the student at 0.90 m/s is
=
.
This time calculates to 866.6 seconds.
Now for the student traveling at 1.9 m/s: their time is
,
which amounts to 410.5 seconds.
The second student, moving at 1.9 m/s, is faster than the one at 0.90 m/s.
The slower student takes 866.6 - 410.5 = 456.1 seconds longer.
Thus, the additional time for the slower student is 456 seconds.
Therefore, option A is correct.