$if x+\frac{1}{x}=2; find the value of x^{17}+\frac{1}{x^{19}}=?$

In a flight of 600km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200km/hr and the time of flight increased by 30 minutes. The duration of the flight is:

P does a work in 12 days for 8 hours and Q does a work in 8 days for 10 hours. If both work for 8 hours then how many days it needed to complete the work?

Two men X and Y started working for a certain company at similar jobs on January 1, 1950. X asked for an initial salary of Rs. 300 with an annual increment of Rs. 30. Y asked for n initial salary of Rs. 200 with a rise of Rs. 15 every six months. Assume that the arrangements remained unaltered till December 31, 1959. Salary is paid on the last day of the month. What is the total amount paid to them as salary during the period?

A sum of taka 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Tk. 362.50 more is lent but at the rate twice the former. At the end of the year, Tk. 33.50 is earned as interest from both the loans. What was the original rate of interest?