Answer: pick A moves 10.2 metre
Explanation: since they were given a quick push simultaneously the product of their distance moved and velocity would be equal.
Let the distance moved by puck B x then that of puck A would be 18-x.
So therefore we have that,
1.3*(18-x) = 1.7*x
23.4 - 1.3x = 1.7x
23.4=3x
Making x subject of formula we have
x = 23.4/3 = 7.8m
But the distance moved by puck A is 18-x. So therefore,
18-7.8=10.2meter