Maths
A motorboat goes downstream and covers it covers the same distance upstream in 12 hours. if the speed of the stream is 2 km/h, then speed of the m at
Answers
Step-by-step explanation:
In physics, a force is any interaction that, when unopposed, will change the motion of an object. A force can cause an object with mass to change its velocity, i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity.
Step-by-step explanation:
Since we have to find the speed of the boat in still water, let us suppose that it is x km/h.
This means that while going downstream the speed of the boat will be (x+2) kmph because the water current is pushing the boat at 2 kmph in addition to its own speed 'x' kmph.
Now the speed of the boat down stream =(x+2) kmph
⇒ distance covered in 1 hour =x+2 km
∴ distance covered in 5 hours =5(x+2) km
Hence the distance between A and B is 5(x+2)km
But while going upstream the boat has to work against the water current.
Therefore its speed upstream will be (x−2) kmph.
⇒ Distance covered in 1 hour =(x−2) km
Distance covered in 6 hours =6(x−2) km
∴ distance between A and B is 6(x−2) km
But the distance between A and B is fixed
∴ 5(x+2)=6(x−2)
⇒ 5x+10=−12−10
∴ −x=−22
x=22
Therefore speed of the boat in still water is 22 kmph.
I hope it's help UH......:)