Hemostasis occurs in a sequence:
2. Formation of platelet plug
3. Formaion of clot
Bleeding time is the time from the onset of bleeding till the stoppage of bleeding i.e. temporary hemoststic plug formation (platelet plug). Clotting time is the time from the onset of bleeding till the clot formation (i.e. definitive hemostatic plug).
Hence, clotting time is longer then bleeding time.