Give me 10 question on river boat problem

Dear student,
1- 
Boat has velocity 5m/s with respect to the river. It aims to reach point A, however, because of the river speed, it reaches another point B. If the speed of the current is 2m/s to the east calculate the time of the trip and the distance between A and B.
2- Velocity of the boat with respect to the river is 10 m/s. It passes the river and reaches opposite shore at point C. If the velocity of the river is 3m/s, find the time of the trip and distance between B and C.
3- 
A motorboat traveling 4 m/s, East encounters a current traveling 7.0 m/s, North.
  1. What is the resultant velocity of the motorboat?
  2. If the width of the river is 80 meters wide, then how much time does it take the boat to travel shore to shore?
  3. What distance downstream does the boat reach the opposite shore?
4- A motorboat traveling 5 m/s, East encounters a current traveling 2.5 m/s, North.

b. If the width of the river is 80 meters wide, then how much time does it take the boat to travel shore to shore?

c. What distance downstream does the boat reach the opposite shore?
5-  
A motorboat traveling 6 m/s, East encounters a current traveling 3.8 m/s, South.

b. If the width of the river is 120 meters wide, then how much time does it take the boat to travel shore to shore?

c. What distance downstream does the boat reach the opposite shore?
6- 
a motorboat is racing towards the north at a direction of 600 east of south.find the resultant velocity of the boat

7- a boat is sent across a river with a velocity of 8m/sec.if resultant velocity is 10m/sec. The velocity of the river is?
8- a motorboat takes 20 s to travel 90 m upstream and 10 s to travel the same distance downstream find speeds of river current and boat.


9- The velocity of boat with respect to ground is 3i+4j and the velocity of water with respect to ground is -3i-4j.Hence the velocity of boat w.r.t water is?
10- 
A boat takes 2hrs to travel 8km and back in still water lake with water velocity of 4kmph, the time is taken for going upstream of 8km and coming back is?

Regards

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