The position of women in society has changed markedly in the last twenty years. Many of the problems young people now experience, such as juvenile delinquency, arise from the fact that many married women now work and are not at home to care for their children. To what extent do you agree or disagree with this opinion?

The position of women has indeed changed since last twenty years as both of the parents being employed is quite common nowadays, which was unusual in the past. I agree that juvenile delinquency, depression and some other children related issues are growing due to the fact that parents are not able to give time to their children, but sometimes it is result of other reasons such as disagreements between parents.
When parents, specially mothers are not able to give time to their children, the sense of inferiority complex, depression and similar problem start to arise in them. Being deprived of the company especially of mothers, most of the time of children is then spent with friends who could easily manipulate the behavior and habits of children towards unethical conduct. For instance, according to a survey by Lahore University, drug usage in high school students was more common in adults who spent lesser time with their mothers because of being employed. Thus, mothers not being able to give time to their children causes them to indulge in untoward activities.
However, disagreement between parents including physical violence in front of kids is also an important factor which cause long term detrimental effects on the behavior of children. Having seen violence during childhood, most of the children repeat such actions with others, leading to juvenile delinquencies and other problems. For instance, according to a report by community college in US, male adults who witnesses physical violence during their childhood repeated the same with their girlfriends and ended up being convicted for physical violence ten. Hence, despite cared by their mothers such incidents happen.
So, juvenile delinquency and other problems which young people experience is not always the result of mothers being unable to care for children but can also be due to domestic violence incidents among parents.