bankers adda_ quant quiz on boats and streams
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7/18/2019 Bankers Adda_ Quant Quiz on Boats and Streams
http://slidepdf.com/reader/full/bankers-adda-quant-quiz-on-boats-and-streams 1/7
8/23/2014 Bankers Adda: QUANT QUIZ ON BOATS AND STREAMS
http://www.bankersadda.com/2014/01/quant-quiz-on-boats-and-streams.html
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QUANT QUIZ ON BOATS AND STREAMS
Boats and Streams
Let us know what is Downstream and what is Upstream. Because these
concepts are the heart of Boats and Str eams.
Downstream : In water,the direction along the stream is called
downstream. I mean, If a boat or a swimmer swims in the same direction
as the stream, then it is called downstream. Obviously the boat or
swimmer require less efforts to t ravel using downstream. Because the
stream itself helps the objects to move.
Remember, as the object moves along with the water, the stream helps
the object.
So, the down stream speed (DS) is
DS = U+V
where U is the speed of the object in the still (calm) water
V is the speed of the water.
Upstream : If the boat or the swimmer is swimming in the opposite
direction in which the stream is passing is called upstream. In simple
words, the direction against the stream is called upstream.
Remember, as the object moves against the water pushes the object in
opposite direction.
So, the upstream speed (US) is
US = U-V
where U is the speed of the object in the still (calm) water
V is the speed of the water.
Important Formulas on Boats and Streams :
Let us assume that the speed of the boat in still water is U km/hr and
the speed of stream is V km/hr then, as mentioned above :
Speed downstream = (u+v)km/hr
Speed upstream = (u-v)km/hr
èIf the speed downstream is a km/hr and the speed upstream is b km/hr
then :
Speed in still water = 1/2(a+b) km/hr
Rate of stream = 1/2(a-b)km/hr
SOME QUESTIONS ON BOATS AND STREAMS WITH SOLUTIONS:
(1) A man can row upstream at 8kmph and downstream at 10kmph. Find
the man's rate in still water and the rate of current.
(2) A boat can t ravel with a speed of 12km/hr in still water . If the speed of
the stream is 5km/hr , find the time taken by boat to go 68km
downstream.
(3) If a man rows at the rate of 5kmph in still water and his rate against the
current is 3.5kmph, then man's rate along the current is ?
(4) A boat covers a certain dis tance downstream in 1 hour, while it comes
back in 3/2 hours. If the speed of the stream is 3kmph, what is the speed
of the boaat in still water ?
(5) A speed of a boat in st ill water is 10 km/hr. If it can t ravel 26kmdownstream and 14km upstream in the same time , the speed of the
stream is ?
(6)The speed of the boat in still water is 10km/hr and the rate of the
current is 3 km/hr. The distance travelled downstream in 12 minutes is ?
(7)what is the speed of the boat in still water ?
(i)The speed downstream of the boat is twice the speed upstream.
(ii)The sum of the speeds of the boat , upstream and downstream is
12kmph
8. A man can row upstream at 5kmph and downstream at 15kmph .The
speed of the stream is ?
(9) A boat takes a total t ime three hours to travel downstreams from P to Q
and the upstream back from Q to P. what is the speed of boat in still water
?
i)The speed of the river current is 1 km per hour
ii)The distance between P and Q is 4 km.
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7/18/2019 Bankers Adda_ Quant Quiz on Boats and Streams
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8/23/2014 Bankers Adda: QUANT QUIZ ON BOATS AND STREAMS
http://www.bankersadda.com/2014/01/quant-quiz-on-boats-and-streams.html
Labels: Quant, Quant Quiz, Shortcuts
(10) . A man takes twice long to row a distance against the s tream as to
row the same distance in favour of the stream . the ratio of the speed of the
boat in still water is ?
ANSWERS WITH EXPLANATIONS
1. Solution : Rate in still water = 1/2 (10+8)km/hr = 9km/hr
Rate of current = 1/2(10-8)km/hr =1km/hr
2. Solution Speed downstream = (12+5)km/hr = 17 km/hr
Time taken to travel 68km downstream = 68/17hrs =4hrs
3. Solution: Let us consider the rate along the current be x kmph.
Then, 1/2(x+3.5) = 5 or X= 6.5 Kmph
4. Solution Let the speed of the boat in still water be x kmph.
Then speed downstream = (X+3)kmph
Speed upstraem = (x-3)kmph
Therefore (X+3)*1 = (x-3)*3/2
2x+6=3x-9 => X= 15kmph
5. solution : let the speed of the stream be x km/hr. then,
Speed downstream=(10+x)km/hr,
speed upstream= (10-x)km/hr
Therefore 26/(10+x )= 14/(10-x)
260-26x= 140+14x => 40x=120
x=3km/hr
6. solution : Speed downstream =(10+3)kmph= 13kmph
Distance travelled = 13*12/60 = 2.4 kmph
7. solution: Let the speed of the boat be x km/hr . Then
i) Speed downstream = 2x km/hr
ii)Says, the speed of the boat in still water = (1/2*12) = 6km /hr
8. Solution : Speed of the stream = 1/2 (15-5) = 5kmph
9. Solution : i) The speed of the current = 1km/hr
ii)PO =4km
let the speed of the boat in still water be x km/hr
4/(x+1) +4/(x-1) =3
10. solution : Let man's upstream be xkmph . then . his rate downstream
=3x km/hr
(Speed in still water) : (Speed of stream ) = (2x+x/2) : (2x-x/2) =3x/2 :
x/2
=> 3:1
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8/23/2014 Bankers Adda: QUANT QUIZ ON BOATS AND STREAMS
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