Boats & Streams Model Questions Set 1 Practice Questions Answers Test with Solutions & More Shortcuts
Boats & Streams PRACTICE TEST [1 - EXERCISES]
Boats & Streams Model Questions Set 1
Question : 6
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 : 7
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 : 8
A man rows upstream 24 km and downstream 36 km taking 6 hours each. Find the speed of current.
a) 1.5 km/h
b) 0.5 km/h
c) 1 km/h
d) 2 km/h
Answer »Answer: (c)
Let man's rowing speed in still water = x km/hr
Let speed of current = y km/hr
Downstream speed = x + y = $36/6$ = 6 …(1)
Upstream speed = x – y = $24/6$ = 4 …(2)
(1) – (2)
2y = 2 ⇒ y = 1
∴ speed of current = 1 km/hr.
Question : 9
A man swims downstream 40 km in 4 hours and upstream 24 km in 3 hours. His speed in still water is
a) 9 km/hr
b) 8 km/hr
c) 8.5 km/hr
d) 9.5 km/hr
Answer »Answer: (a)
Let speed in downstream = (x + y)
Speed in upstream = (x – y)
∴ 4 (x + y) = 40
x + y = 10 ...(1)
and 3(x – y) = 24
x – y = 8 ...(2)
By (1) and (2)
x = 9, y = 1
∴ speed in still water is 9 km/h
Question : 10
A motor boat whose speed is 15 km/h in still water goes 30 km downstream and comes back in four and a half hours. The speed of the stream is :
a) 7 km/h
b) 46 km/h
c) 6 km/h
d) 5 km/h
Answer »Answer: (d)
Let the speed of the stream be x km/h.
Then, upstream speed = (15 – x) km/h.
and downstream speed = (15 + x) km/h.
Now, $30/{(15 + x)}+30/{ (15 - x)}$ = 4.5
Checking with options, we find that x = 5 km/h.
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