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: (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: (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: (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: (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: (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.

IMPORTANT quantitative aptitude EXERCISES

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