diff --git a/src/libs/utils/fileutils.cpp b/src/libs/utils/fileutils.cpp
index 8b79923c516..91d692a1a70 100644
--- a/src/libs/utils/fileutils.cpp
+++ b/src/libs/utils/fileutils.cpp
@@ -398,13 +398,13 @@ bool FileUtils::isRelativePath(const QString &path)
     return true;
 }
 
-QString FileUtils::resolvePath(const QString &baseDir, const QString &fileName)
+FilePath FilePath::resolvePath(const QString &fileName) const
 {
     if (fileName.isEmpty())
-        return QString();
-    if (isAbsolutePath(fileName))
-        return QDir::cleanPath(fileName);
-    return QDir::cleanPath(baseDir + QLatin1Char('/') + fileName);
+        return {}; // FIXME: Isn't this odd?
+    if (FileUtils::isAbsolutePath(fileName))
+        return FilePath::fromString(QDir::cleanPath(fileName));
+    return FilePath::fromString(QDir::cleanPath(toString() + QLatin1Char('/') + fileName));
 }
 
 FilePath FileUtils::commonPath(const FilePath &oldCommonPath, const FilePath &filePath)
diff --git a/src/libs/utils/fileutils.h b/src/libs/utils/fileutils.h
index 4d1243cfdf7..75315c7977d 100644
--- a/src/libs/utils/fileutils.h
+++ b/src/libs/utils/fileutils.h
@@ -107,6 +107,7 @@ public:
     FilePath relativeChildPath(const FilePath &parent) const;
     FilePath pathAppended(const QString &str) const;
     FilePath stringAppended(const QString &str) const;
+    FilePath resolvePath(const QString &fileName) const;
 
     FilePath canonicalPath() const;
 
@@ -172,7 +173,6 @@ public:
 
     static bool isRelativePath(const QString &fileName);
     static bool isAbsolutePath(const QString &fileName) { return !isRelativePath(fileName); }
-    static QString resolvePath(const QString &baseDir, const QString &fileName);
     static FilePath commonPath(const FilePath &oldCommonPath, const FilePath &fileName);
     static QByteArray fileId(const FilePath &fileName);
 };
diff --git a/src/plugins/debugger/gdb/gdbengine.cpp b/src/plugins/debugger/gdb/gdbengine.cpp
index 6cf048420e9..b9e462c9a57 100644
--- a/src/plugins/debugger/gdb/gdbengine.cpp
+++ b/src/plugins/debugger/gdb/gdbengine.cpp
@@ -4700,8 +4700,8 @@ static QString findExecutableFromName(const QString &fileNameFromCore, const QSt
         absPath = fileNameFromCore;
     } else {
         QFileInfo coreInfo(coreFile);
-        QDir coreDir = coreInfo.dir();
-        absPath = FileUtils::resolvePath(coreDir.absolutePath(), fileNameFromCore);
+        FilePath coreDir = FilePath::fromString(coreInfo.dir().absolutePath());
+        absPath = coreDir.resolvePath(fileNameFromCore).toString();
     }
     if (QFileInfo(absPath).isFile() || absPath.isEmpty())
         return absPath;
diff --git a/src/plugins/projectexplorer/customparser.cpp b/src/plugins/projectexplorer/customparser.cpp
index c408dfc2c65..9c97bc17724 100644
--- a/src/plugins/projectexplorer/customparser.cpp
+++ b/src/plugins/projectexplorer/customparser.cpp
@@ -155,7 +155,7 @@ FilePath CustomParser::absoluteFilePath(const QString &filePath) const
     if (m_workingDirectory.isEmpty())
         return FilePath::fromUserInput(filePath);
 
-    return FilePath::fromString(FileUtils::resolvePath(m_workingDirectory, filePath));
+    return FilePath::fromString(m_workingDirectory).resolvePath(filePath);
 }
 
 bool CustomParser::hasMatch(const QString &line, CustomParserExpression::CustomParserChannel channel,
diff --git a/src/plugins/qbsprojectmanager/qbsbuildconfiguration.cpp b/src/plugins/qbsprojectmanager/qbsbuildconfiguration.cpp
index 4e429827473..1ce47c7043b 100644
--- a/src/plugins/qbsprojectmanager/qbsbuildconfiguration.cpp
+++ b/src/plugins/qbsprojectmanager/qbsbuildconfiguration.cpp
@@ -66,9 +66,9 @@ static FilePath defaultBuildDirectory(const FilePath &projectFilePath, const Kit
 {
     const QString projectName = projectFilePath.toFileInfo().completeBaseName();
     ProjectMacroExpander expander(projectFilePath, projectName, k, bcName, buildType);
-    QString projectDir = Project::projectDirectory(projectFilePath).toString();
+    FilePath projectDir = Project::projectDirectory(projectFilePath);
     QString buildPath = expander.expand(ProjectExplorerPlugin::buildDirectoryTemplate());
-    return FilePath::fromString(FileUtils::resolvePath(projectDir, buildPath));
+    return projectDir.resolvePath(buildPath);
 }
 
 // ---------------------------------------------------------------------------
diff --git a/src/plugins/qbsprojectmanager/qbsprojectimporter.cpp b/src/plugins/qbsprojectmanager/qbsprojectimporter.cpp
index 46b1719d84f..9e30a86cada 100644
--- a/src/plugins/qbsprojectmanager/qbsprojectimporter.cpp
+++ b/src/plugins/qbsprojectmanager/qbsprojectimporter.cpp
@@ -86,14 +86,14 @@ QbsProjectImporter::QbsProjectImporter(const FilePath &path) : QtProjectImporter
 {
 }
 
-static QString buildDir(const FilePath &projectFilePath, const Kit *k)
+static FilePath buildDir(const FilePath &projectFilePath, const Kit *k)
 {
     const QString projectName = projectFilePath.toFileInfo().completeBaseName();
     ProjectMacroExpander expander(projectFilePath, projectName, k, QString(),
                                   BuildConfiguration::Unknown);
-    const QString projectDir = Project::projectDirectory(projectFilePath).toString();
+    const FilePath projectDir = Project::projectDirectory(projectFilePath);
     const QString buildPath = expander.expand(ProjectExplorerPlugin::buildDirectoryTemplate());
-    return FileUtils::resolvePath(projectDir, buildPath);
+    return projectDir.resolvePath(buildPath);
 }
 
 static bool hasBuildGraph(const QString &dir)
@@ -123,7 +123,7 @@ QStringList QbsProjectImporter::importCandidates()
     seenCandidates.insert(projectDir);
     const auto &kits = KitManager::kits();
     for (Kit * const k : kits) {
-        QFileInfo fi(buildDir(projectFilePath(), k));
+        QFileInfo fi = buildDir(projectFilePath(), k).toFileInfo();
         const QString candidate = fi.absolutePath();
         if (!seenCandidates.contains(candidate)) {
             seenCandidates.insert(candidate);
diff --git a/src/plugins/qmakeprojectmanager/qmakebuildconfiguration.cpp b/src/plugins/qmakeprojectmanager/qmakebuildconfiguration.cpp
index cca243d66a6..0e20d1920b2 100644
--- a/src/plugins/qmakeprojectmanager/qmakebuildconfiguration.cpp
+++ b/src/plugins/qmakeprojectmanager/qmakebuildconfiguration.cpp
@@ -86,9 +86,9 @@ FilePath QmakeBuildConfiguration::shadowBuildDirectory(const FilePath &proFilePa
 
     const QString projectName = proFilePath.toFileInfo().completeBaseName();
     ProjectMacroExpander expander(proFilePath, projectName, k, suffix, buildType);
-    QString projectDir = Project::projectDirectory(proFilePath).toString();
+    FilePath projectDir = Project::projectDirectory(proFilePath);
     QString buildPath = expander.expand(ProjectExplorerPlugin::buildDirectoryTemplate());
-    return FilePath::fromString(FileUtils::resolvePath(projectDir, buildPath));
+    return projectDir.resolvePath(buildPath);
 }
 
 const char BUILD_CONFIGURATION_KEY[] = "Qt4ProjectManager.Qt4BuildConfiguration.BuildConfiguration";
diff --git a/src/plugins/winrt/winrtpackagedeploymentstep.cpp b/src/plugins/winrt/winrtpackagedeploymentstep.cpp
index c410de4bf45..7cd90bac349 100644
--- a/src/plugins/winrt/winrtpackagedeploymentstep.cpp
+++ b/src/plugins/winrt/winrtpackagedeploymentstep.cpp
@@ -91,8 +91,7 @@ bool WinRtPackageDeploymentStep::init()
     if (!qt)
         return false;
 
-    const QString windeployqtPath = FileUtils::resolvePath(qt->hostBinPath().toString(),
-                                                           "windeployqt.exe");
+    const FilePath windeployqtPath = qt->hostBinPath().resolvePath("windeployqt.exe");
 
     CommandLine windeployqt{windeployqtPath};
     windeployqt.addArg(QDir::toNativeSeparators(m_targetFilePath));
@@ -104,7 +103,7 @@ bool WinRtPackageDeploymentStep::init()
     }
 
     ProcessParameters *params = processParameters();
-    if (!QFile::exists(windeployqtPath)) {
+    if (!windeployqtPath.exists()) {
         raiseError(tr("Cannot find windeployqt.exe in \"%1\".")
                        .arg(QDir::toNativeSeparators(qt->hostBinPath().toString())));
         return false;