Question

a steamer cover acertain distance downstream in 8 hours while it covers same distance upstream in 10 hour find the speed of the steamer in still water if the he speed of the 2 km/he

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Answer 1

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$\huge \underline \pink{AnSwEr:- }$

Let the speed of the steamer in still water be x km/ h .

Then, the speed downstream

= ( x + 2) km / h

And the speed upstream

= (x - 2 ) km / h

Given, distance covered in 8 hours downstream

= Distance covered in 10 hours upstream

∴ 8 (x+2) = 10 (x−2)

⇒ 8x+16 = 10x−20

⟹ 8 x− 10x = −20 − 16

[ Transposing -10 x to LHS and -16 to RHS ]

⟹ - 2x = - 36 or 2x = 36

⟹ x = 18 km / hr.

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