Answer :
[tex]114\ parts\ in\ 6\ min\\\\
x\ parts\ in\ 15\ min\\\\
making\ proportion:\\
114-6\\
x-15\\\\cross\ multiplication\\\\
114*15=6x\\\\
1710=6x\ \ \ \ | divide\ by\ 6\\\\
x=285\\\\
285\ parts\ can\ be\ produced\ in\ 15min[/tex]