The distance between Delhi and Agra is 233 km. A car $P$ started travelling from Delhi to Agra and another car $Q$ started from Agra to Delhi along the same road 1 hour after the car $P$ started. The two cars crossed each other 75 minutes after the car $Q$ started. Both cars were travelling at constant speed. The speed of car $P$ was 10 km/hr more than the speed of car $Q$. How many kilometers the car $Q$ had travelled when the cars crossed each other?