Math, asked by Kartikeysingh13103, 1 year ago

A boat covered 30 km in the opposite direction and 44 km in the direction of stream in 10 hours, and in 13 hours it travelled 40 km in the opposite direction and 55 km in the direction of stream. The speed of boat in the constant water is

Answers

Answered by Swayze
6
HY.
FRIEND...

THANKYOU YOU ASKING
QUESTION
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HERE YOUR SOLUTION
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Φ the speed of the boat be x and the speed of the strean be y

ΦThen speed of the boat in upstream = (x-y) kmph

ΦThe speed of the boat in downstream = (x+y) kmph

THEN
30/(x-y) + 44/(x+y) = 10

1/(x-y) = a and 1/(x+y) = b

It implies 30a +44b = 10.......(i)

Similarly
40a+55b = 13........(ii)

Multiplying
(i) by 4 and (ii) by 3

120a + 176b = 40...........(iii)

120a + 165b = 39..........(iv)

Subtracting
(iv) from (iii)

11b =1
Hence
b = 1/11

Putting b in (i)

30a + 4 = 10
a = 1/5

Now
b = 1/x+y = 1/11

or
x+y = 11..........(v)

and a = 1/x-y = 1/5

or x-y = 5...........(vi)

Adding
(v) and (vi)

2x = 16
x = 8

Putting x in (v)

..8+y = 11
y = 3


the speed of the boat = 8kmph

and speed of the stream = 3kmph

this is correct answer

THANKYOU
BEST OF LUCK
CHEERS

suhani66: thanks I am got the b. h. u. banaras
Answered by saarbedi7
0

question hi sahi nahi h

Step-by-step explanation:

8 km per hour ayega bas itni baat h

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