A swimmer `S` is in the sea at a distance `d` `km` from the closest point `A` on a straight shore The house of the swimmer is at a distance `L `km from `A` on the shore. He can swim at a speed of `ukm`/`hr` and walk at a speed of `vkm`/`hr(v>u)`. At what point on the shore should he land so that he reaches his house in the shortest possible time?

A boy goes to a school from his home at a speed of x km/hr and comes back at a speed of y km/hr, then the average speed is given by

A car travels a distance AB at a speed of 40 km/hr and returns to A at a speed of 30 km/hr. What is the average speed for the whole journey?

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 man starting from point P cross a 4km wide lagoon and reaches point Q in the shortest possible time by the path shown in the figure. If the person swims at a speed of 3km//hr and walks at a speed of 4km//hr, then find his time fo journey (in minutes). .

A man travels at a speed of 20 Km/hr. and then returns at a speed of 30 Km/hr. His average speed of whole journey is

If a bus travels a distance of 30 km in 45 minutes. What will be its speed in: km//"hr "

One car moving on a straight road covers one third of the distance with 20 km/hr and the rest with 60 km/hr. The average speed is

One day a boy walked from his house to his school at the speed of 4 km/hr and he reached ten minutes late to the school. Next day, he ran at the speed of 8 km/hr and was 5 minutes early to the school. Find the distance between his house and school.

The stream of a river is flowing with a speed of 2km//h . A swimmer can swim at a speed of 4 km//h . What should be the direction of the swimmer with respect to the flow of the river ot cross the river straight ?

A driver having a definite reaction time is capable of stopping his car over a distance of 30 m on seeing a red traffic signal, when the speed of the car is 72 km/hr andover a distance of 10 m when the speed is 36 km/hr. Find the distance over which he can stop the car if it were running at a speed of 54 km/hr. Assume that his reaction time and the deceleration of the car remains same in all the three cases.