Aballoon drifts 140m toward the west in 45s ; then the wind suddenly changes and the balloon flies 90m toward the east in the next 25s. what distance did it travel during the first 45s?

140 m

Explanation:

Let's begin by stating clear that motiont is the change of position of a body at a certain time. So, during this motion, the balloon will have a trajectory and a displacement, being both different:

The trajectory is the path followed by the body, the distance it travelled (is a scalar quantity).  

The displacement is the distance in a straight line between the initial and final position (is a vector quantity).  

So, according to this, the distance the balloon traveled during the first 45 s (its trajectory) is 140 m.

But, if we talk about displacement, we have to draw a straight line between the initial position of the balloon (point 0) to its final position (point 90 m).  Being its displacement 95 m.

the second one and the forth one are in the purple because they are opinions and the rest are in the yellow

explanation: