List of top Quantitative Ability and Data Interpretation Questions on Time, Speed and Distance asked in XAT

A police inspector spots a thief standing 7 km away from him on a straight road that runs East-West. The inspector is standing on the eastern side while the thief is on the western side of the road. On spotting the inspector, the thief takes his bicycle and tries to cut across the field next to the road, riding away at a uniform speed of \(9\sqrt{2}\) km/hour in a direction making an angle of \(45^{\circ}\) with the road towards North-East. The inspector starts on his scooter at the same instant, moving at a uniform speed of \(15\) km/hour, and catches the thief.

The distance the inspector has to travel is:
A police inspector spots a thief standing 7 km away from him on a straight road that runs East-West. The inspector is standing on the eastern side while the thief is on the western side of the road. On spotting the inspector, the thief takes his bicycle and tries to cut across the field next to the road, riding away at a uniform speed of \(9\sqrt{2}\) km/hour in a direction making an angle of \(45^{\circ}\) with the road towards North-East. The inspector starts on his scooter at the same instant, moving at a uniform speed of \(15\) km/hour, and catches the thief.

Time taken by the inspector to catch the thief is:
Rajesh walks to and from a shopping mall. He spends 30 minutes shopping there. If he walks at a speed of 10 km/hour, he returns home at 19.00 hours. If he walks at 15 km/hour, he returns home at 18.30 hours. How fast must he walk in order to return home at 18.15 hours?