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
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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
FRIEND...
THANKYOU YOU ASKING
QUESTION
-------------------------------------------------------
HERE YOUR SOLUTION
-------------------------------------------------------
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
0
question hi sahi nahi h
Step-by-step explanation:
8 km per hour ayega bas itni baat h
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