CBSE BOARD X, asked by AksharaKerala, 8 months ago

please answer the question fast as possible and please don't give wrong answers​

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Answers

Answered by spk250159
8

Explanation:

This is the exact model of this question.

plzz substitute the values that you finds different from Akshara's question and solve .speed of boat =10km/h and speed of still water = 4km/h

Akshara i am in Sree Narayana School,chekkikkilam...kannur...kerala

Plz mark my answer as brainliest.

Nammal ore naattukaaralle....

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Answered by ZzyetozWolFF
21

Question:

A boat goes 30km upstream and 20km downstream in 7 hours. In 6 hrs , it can go 18 on upstream and 30 km downstream . Determine the speed of the stream and that of the boat in still water.

Answer:

Speed of boat = 8 km / hr

speed of stream = 2 km / he

Explanation:

Let the speed of boat be x km/hr.

Let the speed of stream be y km/hr.

Speed of upstream = x - y

Speed of downstream = x + y

According to the question :

 \implies \mathsf {  \dfrac{30}{x - 1}  +  \dfrac{20}{x + y} } = 7

 \implies \mathsf{ \dfrac{18}{x - y} +  \dfrac{30}{x +1 } = 6}

 \sf \longrightarrow \: let \:  \frac{1}{x - y}  \: be \: a \: and \:  \frac{1}{x + y} be \: b.

So,

 \sf \implies \: 30a + 20b = 7 \longrightarrow \: (1)

 \sf \implies \: 18a + 30b = 6 \longrightarrow(2)

Multiplying (1) by 3 and (2) by 5

So,

 \sf \implies \: 90a + 60ab = 21 \longrightarrow \: (3)

 \sf \implies \: 90a + 150b = 30 \longrightarrow \: (4)

On solving 3 and 4, we get.

 \sf \: \implies - 90b =  - 9

 \sf \:  \implies \: .°. \:  b =  \frac{9}{90}  =  \frac{1}{10}  =  \frac{1}{x + y}

Plugging the value in equation 3.

 \sf \implies \: 90a + 60b = 21

\sf \implies \: 90a + 60 \times  \frac{1}{10}  = 21

\sf \implies \: 90a +  = 21 - 6

\sf \implies \: 90a + 60b = 15

\sf \implies \:a +  =  \frac{50}{90}  =  \frac{1}{6}  =  \frac{1}{x - y}

so ,

x + y = 10

x - y = 6

\sf \implies \: x = 8 \: km \:  per \: hour

\sf \implies \: y = 2 \: km \: per \: hour

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