Math, asked by racheldelfinlive, 8 months ago

A motorboat goes downstream and covers the distance between two ports in 5 hours and it returns back in 6 hours. If the speed of the stream is 2 km/h, find the speed of the boat in still water.

Answers

Answered by baaniarora15gmailcom
1

ANSWER

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.

Step-by-step explanation:

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Answered by trendylady202
0

Step-by-step explanation:

ANSWER

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.

hope it's helpful

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