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) 2 : 1
(b) 3 : 1
(c) 4 : 3
(d) 3 : 2
The correct answers to the above question in:
Answer: (b)
Let speed in downstream = (x + y)
Speed in upstream = (x – y)
∴ (x + y) = 2 (x – y)
x = 3y
x : y = 3 : 1
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Question : 1
If a man’s rate with the current is 12 km/hr. and the rate of the current is 1.5 km/hr, then man’s rate against the current is –
a) 5.25 km/hr
b) 9 km/hr
c) 6.75 km/hr
d) 7.5 km/hr
Answer »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
Question : 2
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 : 3
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 : 4
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 : 5
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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