Extract a single page from an XPS document

I need to split an existing XPS Document and create a new XPS Document with only one page of the original one. I tried to copy the document and delete pages from the copied document, but that's very slow. Is there a more efficient way to do this? In C# please.

Thanks.

Resolved:

public void Split(string originalDocument, string detinationDocument)
    {
        using (Package package = Package.Open(originalDocument, FileMode.Open, FileAccess.Read))
        {
            using (Package packageDest = Package.Open(detinationDocument))
            {
                string inMemoryPackageName = "memorystream://miXps.xps";
                 Uri packageUri = new Uri(inMemoryPackageName);
                 PackageStore.AddPackage(packageUri, package);
                XpsDocument xpsDocument = new XpsDocument(package, CompressionOption.Maximum, inMemoryPackageName);
                XpsDocument xpsDocumentDest = new XpsDocument(packageDest, CompressionOption.Normal, detinationDocument);
                var fixedDocumentSequence = xpsDocument.GetFixedDocumentSequence();
                DocumentReference docReference = xpsDocument.GetFixedDocumentSequence().References.First();
                FixedDocument doc = docReference.GetDocument(false);
                var content = doc.Pages[2];
                var fixedPage = content.GetPageRoot(false);
                var writter = XpsDocument.CreateXpsDocumentWriter(xpsDocumentDest);
                writter.Write(fixedPage);
                xpsDocumentDest.Close();
                xpsDocument.Close();
            }
        }
    }