Boats & Streams Model Questions Set 1 Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 1 EXERCISES
The following question based on Boats & Streams topic of quantitative aptitude
(a) 5.25 km/hr
(b) 9 km/hr
(c) 6.75 km/hr
(d) 7.5 km/hr
The correct answers to the above question in:
Answer: (b)
Let the rate against the current be x km/hr. Then,
${12-x}/2$ = 1.5 ⇒12 – x = 3 ⇒ x = 9 km / hr
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Question : 1
A man rows a distance downstream in 45 min and the same distance upstream in 75 min. What is the ratio of speed of the stream to the boat in still water ?
a) 1 : 4
b) 1 : 2
c) 1 : 3
d) 2 : 3
Answer »Answer: (a)
Let speed of boat in still water = x km/hr
Let speed of stream = y km/hr
Let distance covered = d km
∴ $d/{x+y}=45/60=3/4$ …(1)
$d/{x-y}=75/60=5/4$ …(2)
Form (1) & (2),
${x-y}/{x+y}=3/5 ⇒5x-5y=3x+3y$
⇒2x=8y ⇒ $y/x=1/4 $
∴ ratio of speed of the stream to boat in still water = 1 : 4
Question : 2
A steamer goes downstream from one part to another in 4 hours. It covers the same distance upstream in 5 hours. If the speed of stream is 2 km/hr, the distance between the two ports is
a) 68 km
b) 45 km
c) 64 km
d) 80 km
Answer »Answer: (d)
Let the distance between the two parts = 'x' km
Let the speed of steamer in still water = 'y' km/hr
∴ $x/{y+2}$=4 ⇒x=4y+8 ….(1)
$x/{y-2}$=5⇒x=5y-10 …..(2)
From (1) and (2)
4y+8=5y-10
⇒ y = 18
∴ From (1)
x = 4 × 18 + 8 = 80 km.
Question : 3
A boat takes 19 hours for travelling downstream from point A to point B and coming back to point C, mid way between A and B. If the velocity of the stream is 4 km/hr and the speed of the boat in still water is 14 km/hr. then the distance between A & B is
a) 180 km
b) 200 km
c) 160 km
d) 190 km
Answer »Answer: (a)
Downstream speed = 14 + 4 = 18 km/hr
Upstream speed = 14 – 4 = 10 km/hr
Let the distance between A and B = 'x' km
∴ $x/18+{x/2}/10=19$
∴ $x/18+x/20=19$
${10x+9x}/180=19$
${19x}/180=19$ ⇒ x=180km
Question : 4
A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is
a) 2 : 1
b) 3 : 1
c) 4 : 3
d) 3 : 2
Answer »Answer: (b)
Let speed in downstream = (x + y)
Speed in upstream = (x – y)
∴ (x + y) = 2 (x – y)
x = 3y
x : y = 3 : 1
Question : 5
The speed of a boat in still water is 8 km/hr. It can travel 20 km downstream at the same time as it can travel 12 km upstream, the rate of stream (in kmph) is
a) 2.5
b) 0.5
c) 2
d) 2.75
Answer »Answer: (c)
Let rate of stream = x kmph
∴ $20/{8+x}=12/{8-x}$
160 – 20x = 96 + 12x
64 = 32x
x = 2
∴ Rate of stream = 2 kmph
Question : 6
The speed of a motor boat to that of the current of water is 36 : 5. The boat goes along with the current in 5 hours 10 minutes. It will come back in
a) 6 hours 30 min
b) 5 hours
c) 6 hours 15 min
d) 6 hours 50 min
Answer »Answer: (d)
Let speed of boat = 36x km/h
Speed of current = 5x km/h
∴ $(36x + 5x) × 310/60=(36x-5x) × t$
$t={41×310}/{60×31}=41/6$= 6H 50 min
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