Question

3.
A steamer goes downstream and covers the distance between 2 ports
in 4 hrs while it covers the same distance upstream in 5 hrs. If the
speed of the stream is 2 km/hr, find the speed of the steamer in still
water.

NOW....NO WRONG ANSWER OR I WILL REPORT AS SPAM....ONLY I NEED FULL STEP BY STEP EXPLANATION......THE ANSWER COMING IS 18KM/PH IN THE ANSWER KEY....
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Answer 1

Answer:

see this dear

Step-by-step explanation:

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 4 hours downstream = distance covered in 5 hours upstream

∴4(x+2)=5(x−2)

⇒4x+8=5x−10

⟹4x−5x=−10−8

[Transposing 5x to LHS and 8 to RHS]

⟹−x=−18 or x=18km/h

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