QA A person got down at station P and travelled 200 kms due west and then he changed his course 60⁰ northward. After travelling 150 km in this direction, he reached his home. Station Q is 150 kms north of station P and all passenger trains which run from Q to P run with a speed of 40 km/hr. Next day, a passenger train left station Q at 8 am. This person wanted to board this train at station P but today he took the shortest possible route between his house and station P. By what time should he leave his house, so that he can definitely board the train and minimize the waiting time at the station. Consider the speed of the man as 60 km/hr and assume he is able to instant with no delay able to board the train after he reaches the station.

QA A, B and C can complete a piece of work in 12, 10 and 15 days respectively. They start working together, but C leaves the work x days before the completion of the work and B works for x days. If the work is completed in y days, find the integral value of y.

QA A, B and C can complete a piece of work in 12, 10 and 15 days respectively. They start working together, but C leaves the work x days before the completion of the work and B works for x days. If the work is completed in y days, find the integral value of y.