A rectangular plot has a concrete path running in the middle of the plot parallel to the breadth of the plot. The rest of the plot is used as a lawn, which has an area of $240m^2$. If the width of . the path is 3m and the length of the plot is greater than its breadth by 2m, what is the area of the rectangular plot?

A pipe can fill a tank in 0.9 hours and another pipe can empty in 0.7 hours. If tank is completely filled and both pipes are opened simultaneously then 450 liters of water is removed from the tank in 2.5 hours. What is the capacity of the tank?

A sum of Tk. 3,240 was fixed to complete a work. 54 workers completed the work in 8 days and the sum was divided equally among the workers. If the work was to be completed in 3 days then how much less money each worker would receive compared to when the work work was completed in 8 days?

A motorist and a cyclist start from A to B at the same time. A to B is 18km. The speed of motorist is 15 m/hr, more than the cyclist. After covering half the distance, the motorist rests for 30 minutes and thereafter his speed is reduced by 20%. If the motorist reaches the destination B, 15 min earlier than that of the cyclist, then find the speed of the cyclist. 

Two trains running at the rate of 75km and 60km an hour respectively on parallel rails in opposite directions are observed to pass each other in 8 seconds and when they are running in the same direction at the same rates as before, a person sitting in the faster train observes that he passes the other in 31 seconds. Find the lengths of the trains.