Ten days takes you around the Golden Triangle and on through Rajasthan. You see Delhi, Agra and Jaipur, then go on to Pushkar, Jodhpur and Udaipur, ending at the lake city with a short flight home or onward. It is a good length for a first trip to India that wants more than three cities.
The route runs one way, so there is no backtracking: you start in Delhi and end in Udaipur. The longest drive is about six hours, between Jaipur and Jodhpur, broken at Pushkar.