A swimmer `S` is in the sea at a distance `dk m` from the closest point `A` on a straight shore. The house of the swimmer is on the shore at distance `Lk m` from A. He can swin at speed oh ukm/h. walk at speed at vkm/h. At what point on shore should he land so that hhe reaches his house in the shortest time.

Parth misses a train by 1 hour,if he travels at a speed of 4km/h .If he increases his speed to 5km/h, he still misses the train by 24 minutes. At what speed he should travel so that he reaches the station exactly on time.

A fishing boat is anchored 9 km away from the the nearest point on the shore. A messanger must be sent from the fishing boat to a camp, 15 km from the point on shore closest to boat. If the messanger can walk at a speed of 5 km per hour and can row at 4 km/h. determine the distance of that point (in km) from the shore, where he must land so as to reach the shore in least possible time.

A swimmer can swim with speed 12 m/s in still water. Speed of river is 6 m/s. Find angle at which he should swim with downstream so that he reaches directly opposite point on other side

A man is going from his office to his house. He goes 15 m due West and then 8 m due North. What is the shortest distance between starting point and end point?