Math, asked by sSana, 1 year ago

a steamer goes downstream from one port to another in 6 hours. it goes upstream in 7 hours. if the speed of the stream be 2 km/hr. find the speed of steamer in still water.

Answers

Answered by shreya7843
4

hope you will be able to get the answer to your question

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Answered by XxFantoamDEADPOOLXx
119

★Speed of the steamer=26 km/hr

Step-by-step explanation:

Given :

• Steamer goes downstream in 6 hours

• Steamer goes upstream in 7 hours

•speed of the stream = 2 km/hr

To Find:

•Speed of the steamer in still water

Solution :

➡Here we are given that the steamer

covers same distance downstream and

upstream in 6 and 7 hours respectively.

➡Let the speed of the steamer in still water

be x km/hr.

➡Hence,

Speed while travelling upstream = (x - 2)

km/hr

Speed while travelling downstream = (x +2) km/hr

➡Now we know that,

Distance Speed x Time

➡Hence in the first case,

Distance travelled = (x + 2) × 6 ------(1)

➡Now in the second case,

Distance travelled = (x - 2) × 7 ---(2)

➡From given we know that the LHS of

equation 1 and equation 2 are equal.

Hence,

6 (x + 2) = 7 (x - 2)

6x + 12 = 7x - 14

7x-6x = 12 + 14

x = 26

➡But we know that

x = Speed of the steamer in still water

➡Hence speed of the steamer is 26 km/hr

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