In the given figure, ACB is a right angled triangle. CD is the altitude. Circles are inscribed within the triangles ACD, BCD. P and Q are the centre of the circles. The distance PQ is

A car rental agency has the following terms. If a car is rented for 5 hours or less the charge is Rs. 60 per hour or Rs. 12 per kilometer whichever is more. On the other hand, if the car is rented for more than 5 hours, the charge is Rs. 50 per hour or Rs. 7.50 per kilometer whichever is more. Akil rented a car from this agency, drove it for 30 kilometers and ended up paying Rs. 300. For how many hours did he rent the Car?

A company has to punch can lids. it has three machines each of which can individually complete the work in 6 days,3 days and 4 days respectively. If all three machines are used, then in how many  days can the task be completed?